Differential Geometry

Authors and titles for October 2007

[101] arXiv:0710.5265 [pdf, other]

Title: Goldman flows on a nonorientable surface

David B. Klein

Comments: 17 pages, 9 figures

Subjects: Differential Geometry (math.DG)

[102] arXiv:0710.5317 [pdf, other]

Title: All superconformal surfaces in \R^4 in terms of minimal surfaces

Marcos Dajczer, Ruy Tojeiro

Subjects: Differential Geometry (math.DG)

[103] arXiv:0710.5328 [pdf, other]

Title: Monotonicity formulas under rescaled Ricci flow

Jun-Fang Li

Comments: 5 pages, one reference and two comments added

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[104] arXiv:0710.5467 [pdf, other]

Title: Gerbes and Lie Groups

Christoph Schweigert, Konrad Waldorf

Comments: 29 pages, appears in "Trends and Developments in Lie Theory", Progress in Math., Birkhaeuser

Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph)

[105] arXiv:0710.5487 [pdf, other]

Title: Ricci Yang-Mills flow on surfaces

Jeffrey Streets

Subjects: Differential Geometry (math.DG)

[106] arXiv:0710.5579 [pdf, other]

Title: Noncompact Shrinking 4-Solitons with Nonnegative Curvature

Aaron Naber

Comments: 30 pages

Subjects: Differential Geometry (math.DG)

[107] arXiv:0710.5641 [pdf, other]

Title: Tight homomorphisms and Hermitian symmetric spaces

Marc Burger, Alessandra Iozzi, Anna Wienhard

Comments: 51 pages, no figure. The exposition has been improved, especially in the Introduction

Subjects: Differential Geometry (math.DG)

[108] arXiv:0710.5673 [pdf, other]

Title: Surgery and the spinorial tau-invariant

Bernd Ammann (IECN, Universitaet Regensburg), Mattias Dahl (KTH Stockholm), Emmanuel Humbert (IECN)

Comments: to appear in CPDE

Journal-ref: Comm. Partial Differential Equations 34 (2009), no. 10-12, 1147-1179

Subjects: Differential Geometry (math.DG)

[109] arXiv:0710.5752 [pdf, other]

Title: Some classifications of \infty-Harmonic maps between Riemannian manifolds

Ze-Ping Wang, Ye-Lin Ou

Comments: 25 pages

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[110] arXiv:0710.5783 [pdf, other]

Title: Logarithmic singularities of Schwartz kernels and local invariants of conformal and CR structures

Raphael Ponge (University of Toronto)

Comments: 44 pages

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[111] arXiv:0710.5860 [pdf, other]

Title: Frobenius Manifolds as a Special Class of Submanifolds in Pseudo-Euclidean Spaces

O. I. Mokhov

Comments: 33 pages

Journal-ref: Amer. Math. Soc. Transl. (2), Vol. 224, Geometry, Topology, and Mathematical Physics. S.P.Novikov's Seminar: 2006-2007, Providence, RI: Amer. Math. Soc., 2008, 213-246.

Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Geometry (math.AG); Analysis of PDEs (math.AP); Symplectic Geometry (math.SG); Exactly Solvable and Integrable Systems (nlin.SI)

[112] arXiv:0710.5902 [pdf, other]

Title: Converse Sturm-Hurwitz-Kellogg theorem and related results

S. Tabachnikov

Subjects: Differential Geometry (math.DG); Classical Analysis and ODEs (math.CA)

[113] arXiv:0710.0171 (cross-list from math.AP) [pdf, other]

Title: A note on energy currents and decay for the wave equation on a Schwarzschild background

Mihalis Dafermos, Igor Rodnianski

Comments: 10 pages

Subjects: Analysis of PDEs (math.AP); General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

[114] arXiv:0710.0408 (cross-list from math.OC) [pdf, other]

Title: Optimal Transportation under Nonholonomic Constraints

Andrei Agrachev, Paul Lee

Comments: 35 pages, 5 figures

Subjects: Optimization and Control (math.OC); Differential Geometry (math.DG)

[115] arXiv:0710.0474 (cross-list from math.DS) [pdf, other]

Title: Fractional dynamical systems defined on fractional jet bundle and applications in economics

Mihai Boleantu

Comments: presented at Differential Geometry-Dynamical Systems Conference, DGDS, 5-7 October, 2007, Bucharest, Romania

Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG)

[116] arXiv:0710.0511 (cross-list from math.SG) [pdf, other]

Title: Constraints on exact Lagrangians in cotangent bundles of manifolds fibred over the circle

Mihai Damian

Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)

[117] arXiv:0710.0620 (cross-list from hep-th) [pdf, other]

Title: Deforming, revolving and resolving - New paths in the string theory landscape

Diego Chialva, Ulf H. Danielsson, Niklas Johansson, Magdalena Larfors, Marcel Vonk

Comments: 41 pages, 5 figures; minor corrections, published version

Journal-ref: JHEP0802:016,2008

Subjects: High Energy Physics - Theory (hep-th); Algebraic Geometry (math.AG); Differential Geometry (math.DG)

[118] arXiv:0710.0681 (cross-list from math.AT) [pdf, other]

Title: Yang-Mills theory over surfaces and the Atiyah-Segal theorem

Daniel A. Ramras

Comments: 43 pages. Changes in v4: improved results in Section 7, simplified arguments in the Appendix, various minor revisions

Journal-ref: Algebr. Geom. Topol. 8 (2008) 2209-2251

Subjects: Algebraic Topology (math.AT); Differential Geometry (math.DG); K-Theory and Homology (math.KT)

[119] arXiv:0710.0688 (cross-list from gr-qc) [pdf, other]

Title: The type N Karlhede bound is sharp

Robert Milson, Nicos Pelavas

Comments: 7 pages, typos corrected, added citation and acknowledgement

Journal-ref: Class.Quant.Grav.25:012001,2008

Subjects: General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

[120] arXiv:0710.0731 (cross-list from math.SG) [pdf, other]

Title: Symplectic resolutions, Lefschetz property and formality

Gil Cavalcanti, Marisa Fernandez, Vicente Munoz

Comments: 21 pages, no figures

Journal-ref: Adv. Math., 218 (2), 2008, 576--599

Subjects: Symplectic Geometry (math.SG); Algebraic Topology (math.AT); Differential Geometry (math.DG)

[121] arXiv:0710.1304 (cross-list from hep-th) [pdf, other]

Title: Balanced metrics and noncommutative Kaehler geometry

Sergio Lukic

Comments: 18 pages, 10 figures, Latex

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Differential Geometry (math.DG)

[122] arXiv:0710.1351 (cross-list from gr-qc) [pdf, other]

Title: Strong cosmic censorship for T^2-symmetric spacetimes with cosmological constant and matter

Jacques Smulevici

Comments: 29 pages, 6 figures, v2 is the version published in Annales Henri Poincare

Journal-ref: AnnalesHenriPoincare9:1425-1453,2008

Subjects: General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[123] arXiv:0710.1544 (cross-list from math-ph) [pdf, other]

Title: On the projective geometry of the supercircle: a unified construction of the super cross-ratio and Schwarzian derivative

Jean-Philippe Michel (CPT), Christian Duval (CPT)

Comments: LaTeX, 50 pages. Minor improvements

Journal-ref: International Mathematics Research Notices 2008 (2008) rnn054

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Differential Geometry (math.DG)

[124] arXiv:0710.2012 (cross-list from nlin.SI) [pdf, other]

Title: Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

E.V. Ferapontov, A. Moro, V.V. Sokolov

Comments: 34 pages

Journal-ref: Commun. Math. Phys., 285, pp. 31-65 (2008)

Subjects: Exactly Solvable and Integrable Systems (nlin.SI); Mathematical Physics (math-ph); Differential Geometry (math.DG)

[125] arXiv:0710.2590 (cross-list from hep-th) [pdf, other]

Title: Geometries with Killing Spinors and Supersymmetric AdS Solutions

Jerome P. Gauntlett, Nakwoo Kim

Comments: 28 pages

Journal-ref: Commun.Math.Phys.284:897-918,2008

Subjects: High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Differential Geometry (math.DG)

[126] arXiv:0710.3365 (cross-list from gr-qc) [pdf, other]

Title: Singular Yamabe metrics and initial data with exactly Kottler-Schwarzschild-de Sitter ends

Piotr T. Chrusciel, Daniel Pollack

Comments: Minor changes, updated references. Final version. To appear in Annales Henri Poincare

Journal-ref: AnnalesHenriPoincare9:639-654,2008

Subjects: General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

[127] arXiv:0710.3579 (cross-list from math.CV) [pdf, other]

Title: Holomorphic correspondences between CR manifolds

C. Denson Hill, Rasul Shafikov

Journal-ref: Indiana Math. J. 54 (2005), 417-441

Subjects: Complex Variables (math.CV); Algebraic Geometry (math.AG); Differential Geometry (math.DG)

[128] arXiv:0710.3870 (cross-list from math.AP) [pdf, other]

Title: The WKB method for conjugate points in the volumorphism group

Stephen C. Preston

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[129] arXiv:0710.3879 (cross-list from gr-qc) [pdf, other]

Title: On Penrose's `before the big bang' ideas

C. Denson Hill, Pawel Nurowski

Comments: We changed our conventions, so that the sign of the cosmological constant agrees with the conventions of cosmologists

Subjects: General Relativity and Quantum Cosmology (gr-qc); Differential Geometry (math.DG)

[130] arXiv:0710.3894 (cross-list from math.SP) [pdf, other]

Title: Upper and lower bounds on resonances for manifolds hyperbolic near infinity

David Borthwick

Comments: 29 pages, minor corrections, added one figure

Subjects: Spectral Theory (math.SP); Differential Geometry (math.DG)

[131] arXiv:0710.3991 (cross-list from math.AP) [pdf, other]

Title: Dirichlet Duality and the Nonlinear Dirichlet Problem

F. Reese Harvey, H. Blaine Lawson Jr

Journal-ref: Comm. on Pure and App. Math. 62 (2009), 396-443

Subjects: Analysis of PDEs (math.AP); Complex Variables (math.CV); Differential Geometry (math.DG)

[132] arXiv:0710.4016 (cross-list from math.DS) [pdf, other]

Title: Equicontinuous Geodesic Flows

Christian Pries

Comments: 14 pages

Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG)

[133] arXiv:0710.4317 (cross-list from math.AP) [pdf, other]

Title: One dimensional conformal metric flow II

Yilong Ni, Meijun Zhu

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[134] arXiv:0710.4318 (cross-list from cs.SC) [pdf, other]

Title: Differential invariants of a Lie group action: syzygies on a generating set

Evelyne Hubert

Comments: Journal of Symbolic Computation (2008)

Subjects: Symbolic Computation (cs.SC); Differential Geometry (math.DG)

[135] arXiv:0710.4320 (cross-list from math.AP) [pdf, other]

Title: Liouville energy on a topological two sphere

XiuXiong Chen, Meijun Zhu

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[136] arXiv:0710.4324 (cross-list from math.AP) [pdf, other]

Title: A sharp inequality and its applications

Suyu Li, Meijun Zhu

Subjects: Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[137] arXiv:0710.4375 (cross-list from math.CV) [pdf, other]

Title: Bergman kernels and equilibrium measures for line bundles over projective manifolds

Robert Berman

Comments: 35 pages. This paper supersedes "Bergman kernels and equilibrium measures for ample line bundles" (apart from section 4 that will be superseded by a sequal to this paper) v2: two pictures added. Fixed some confusing typos in the proof of lemma 4.4

Subjects: Complex Variables (math.CV); Differential Geometry (math.DG)

[138] arXiv:0710.4569 (cross-list from math.GT) [pdf, other]

Title: A Schottky decomposition theorem for complex projective structures

Shinpei Baba

Comments: 35 pages, 14 figures

Journal-ref: Geometry & Topology 14 (2010) 117-151

Subjects: Geometric Topology (math.GT); Differential Geometry (math.DG)

[139] arXiv:0710.4593 (cross-list from math.GR) [pdf, other]

Title: A new proof of Gromov's theorem on groups of polynomial growth

Bruce Kleiner

Subjects: Group Theory (math.GR); Differential Geometry (math.DG); Metric Geometry (math.MG)

[140] arXiv:0710.5174 (cross-list from math.CV) [pdf, other]

Title: Stein fillability and the realization of contact manifolds

C.Denson Hill, Mauro Nacinovich

Journal-ref: Proc. AMS 133 (2005), 1843-1850

Subjects: Complex Variables (math.CV); Differential Geometry (math.DG); Symplectic Geometry (math.SG)

[141] arXiv:0710.5478 (cross-list from math.HO) [pdf, other]

Title: The work of Jesse Douglas on Minimal Surfaces

Jeremy Gray, Mario Micallef

Comments: 8 pages. Paper is accepted for publication in the Bulletin of the American Mathematical Society fr April 2008

Subjects: History and Overview (math.HO); Differential Geometry (math.DG)

[142] arXiv:0710.5634 (cross-list from math.SG) [pdf, other]

Title: Kuranishi homology and Kuranishi cohomology: a User's Guide

Dominic Joyce

Comments: (v2) 29 pages. Completely rewritten

Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG); K-Theory and Homology (math.KT)

[143] arXiv:0710.5724 (cross-list from math.AG) [pdf, other]

Title: Existence of K\"ahler-Einstein metrics and multiplier ideal sheaves on del Pezzo surfaces

Gordon Heier

Comments: 15 pages

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)

[144] arXiv:0710.5725 (cross-list from math.AG) [pdf, other]

Title: Convergence of the K\"ahler-Ricci flow and multiplier ideal sheaves on del Pezzo surfaces

Gordon Heier

Comments: 15 pages

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Differential Geometry (math.DG)

[145] arXiv:0710.5753 (cross-list from math.SG) [pdf, other]

Title: Integrability and reduction of Poisson group actions

Luca Stefanini

Comments: 20 pages, corrected misspellt preposition in the title

Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)

[146] arXiv:0710.5772 (cross-list from math.SG) [pdf, other]

Title: Pre-Poisson submanifolds

Alberto S. Cattaneo, Marco Zambon

Comments: Proceedings of the conference "Poisson 2006". 14 pages

Journal-ref: Travaux Mathematiques, Vol. XVII (2007), pp. 61-74

Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG)