Differential Geometry

Authors and titles for October 2007

[1] arXiv:0710.0088 [pdf, other]

Title: Lagrangian curves on spectral curves of monopoles

Brendan Guilfoyle, Madeeha Khalid, José J. Ramón-Marí

Comments: 17 pages AMS-LATEX, 5 figures, version 2, minor typos corrected

Journal-ref: Math.Phys.Anal.Geom.13:255-273,2010

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

[2] arXiv:0710.0093 [pdf, other]

Title: Generalized Dolbeault sequences in parabolic geometry

Peter Franek

Subjects: Differential Geometry (math.DG)

[3] arXiv:0710.0164 [pdf, other]

Title: Bochner-Kaehler metrics and connections of Ricci type

Martin Panak, Lorenz Schwachhofer

Subjects: Differential Geometry (math.DG)

[4] arXiv:0710.0218 [pdf, other]

Title: An affine sphere equation associated to Einstein toric surfaces

Toshiki Mabuchi

Comments: to appear in the Proceedings of ICCM 2007, published by Higher Educational Press

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

[5] arXiv:0710.0297 [pdf, other]

Title: GL(2,R) geometry of ODE's

Michal Godlinski, Pawel Nurowski

Subjects: Differential Geometry (math.DG)

[6] arXiv:0710.0403 [pdf, other]

Title: Area-expanding embeddings of rectangles

Larry Guth

Comments: 21 pages, 6 figures

Subjects: Differential Geometry (math.DG)

[7] arXiv:0710.0483 [pdf, other]

Title: Reduction for constrained variational problems on 3D null curves

Emilio Musso, Lorenzo Nicolodi

Comments: 16 pages

Journal-ref: SIAM J. Control Optim.47:1399-1414, 2008

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

[8] arXiv:0710.0492 [pdf, other]

Title: On the second Paneitz-Branson invariant

Mohammed Benalili, Hichem Boughazi

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

[9] arXiv:0710.0507 [pdf, other]

Title: Results related to generalizations of Hilbert's non-immersibility theorem for the hyperbolic plane

David Brander

Comments: 8 Pages. Comments and references added

Journal-ref: Electron. Res. Announc. Math. Sci. 15 (2008), 8 - 16

Subjects: Differential Geometry (math.DG)

[10] arXiv:0710.0519 [pdf, other]

Title: Differential Invariants of Conformal and Projective Surfaces

Evelyne Hubert, Peter J. Olver

Comments: This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at this http URL

Journal-ref: SIGMA 3 (2007), 097, 15 pages

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

[11] arXiv:0710.0618 [pdf, other]

Title: Anosov AdS representations are quasi-Fuchsian

Quentin Merigot

Comments: 19 pages. arXiv admin note: substantial text overlap with arXiv:math/0701452 by other authors

Subjects: Differential Geometry (math.DG); Representation Theory (math.RT)

[12] arXiv:0710.0639 [pdf, other]

Title: Dirac geometry, quasi-Poisson actions and D/G-valued moment maps

Henrique Bursztyn, Marius Crainic

Comments: 55 pages. v2: minor corrections, typos fixed; to appear in J. Differential Geometry

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

[13] arXiv:0710.0740 [pdf, other]

Title: On 3-dimensional Asymptotically Harmonic Manifolds

Viktor Schroeder, Hemangi Shah

Comments: 4 pages

Subjects: Differential Geometry (math.DG)

[14] arXiv:0710.0919 [pdf, other]

Title: The ambient metric

Charles Fefferman, C. Robin Graham

Comments: v2: 100 pages, introduction rewritten, minor editorial changes elsewhere

Subjects: Differential Geometry (math.DG)

[15] arXiv:0710.0951 [pdf, other]

Title: If all geodesics are closed on the projective plane

Christian Pries

Comments: 11 pages, 2 figures

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

[16] arXiv:0710.0969 [pdf, other]

Title: Quasi-Fuchsian AdS representations are Anosov

Thierry Barbot (UMPA-Ensl)

Subjects: Differential Geometry (math.DG)

[17] arXiv:0710.1042 [pdf, other]

Title: On three dimensional conformally flat almost cosymplectic manifolds

Piotr Dacko

Subjects: Differential Geometry (math.DG)

[18] arXiv:0710.1104 [pdf, other]

Title: Smooth Volume Rigidity for Manifolds with Negatively Curved Targets

Chris Connell

Comments: Updated from 2006 version

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

[19] arXiv:0710.1136 [pdf, other]

Title: Inverse problems for Einstein manifolds

Colin Guillarmou (JAD), Antonio Sa Barreto

Comments: Corrected version

Subjects: Differential Geometry (math.DG)

[20] arXiv:0710.1144 [pdf, other]

Title: A uniform L^{\infty} estimate for complex Monge-Ampere equations

Slawomir Kolodziej, Gang Tian

Comments: 14 pages

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

[21] arXiv:0710.1232 [pdf, other]

Title: A Canonical Quadratic Form on the Determinant Line of a Flat Vector Bundle

Maxim Braverman, Thomas Kappeler

Comments: 13 pages

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

[22] arXiv:0710.1276 [pdf, other]

Title: Riemannian groupoids and solitons for three-dimensional homogeneous Ricci and cross curvature flows

David Glickenstein

Journal-ref: Int. Math. Res. Not. IMRN 2008, no. 12, Art. ID rnn034, 49 pp

Subjects: Differential Geometry (math.DG)

[23] arXiv:0710.1305 [pdf, other]

Title: Unique continuation results for Ricci curvature and applications

Michael T. Anderson, Marc Herzlich

Comments: 32 pages, supercedes math.DG/0501067; final published version

Journal-ref: Journal of Geometry and Physics, vol. 58, (2008), 179-207

Subjects: Differential Geometry (math.DG)

[24] arXiv:0710.1324 [pdf, other]

Title: Traces of heat operators on Riemannian foliations

Ken Richardson

Comments: 37 pages, citations updated

Journal-ref: Trans.Am.Math.Soc.362:2301-2337,2010

Subjects: Differential Geometry (math.DG)

[25] arXiv:0710.1347 [pdf, other]

Title: The asymptotic Tian-Yau-Zelditch expansion on Riemann surfaces with Constant Curvature

Chiung-ju Liu

Comments: 9 pages, final version, to appear in Taiwanese J. Math

Subjects: Differential Geometry (math.DG)

[26] arXiv:0710.1396 [pdf, other]

Title: The isoperimetric profile of a compact Riemannian Manifold for small volumes

Stefano Nardulli (LM-Orsay)

Comments: 43 pages

Journal-ref: Annals of global analysis and geometry, Vol. 36, No. 2 (2009), p. 111-132

Subjects: Differential Geometry (math.DG)

[27] arXiv:0710.1425 [pdf, other]

Title: Classification of 1st order symplectic spinor operators over contact projective geometries

Svatopluk Krýsl

Comments: 19 pages

Subjects: Differential Geometry (math.DG); Representation Theory (math.RT)

[28] arXiv:0710.1543 [pdf, other]

Title: Symmetric bundles and representations of Lie triple systems

Wolfgang Bertram (IECN), Manon Didry (IECN)

Comments: 22 pages, v2: minor corrections

Subjects: Differential Geometry (math.DG)

[29] arXiv:0710.1611 [pdf, other]

Title: On Some Geometric Structures Associated to a k-Symplectic Manifold

Adara M. Blaga, B. Cappelletti Montano

Comments: To appear on J. Phys. A: Math. Theor

Journal-ref: J. Phys. A: Math. Theor. 41 (2008) 13 pp

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

[30] arXiv:0710.1658 [pdf, other]

Title: Comment on GL(2,R) geometry of 4th order ODEs

Pawel Nurowski

Subjects: Differential Geometry (math.DG)

[31] arXiv:0710.1671 [pdf, other]

Title: Jet isomorphism for conformal geometry

C. Robin Graham

Comments: 29 pages, based on lectures delivered at the 2007 Winter School 'Geometry and Physics', Srni, Czech Republic; v.2 corrects typos introduced by arXiv HyperTeX macro

Subjects: Differential Geometry (math.DG)

[32] arXiv:0710.1740 [pdf, other]

Title: A regularity and compactness theory for immersed stable minimal hypersurfaces of multiplicity at most 2

Neshan Wickramasekera

Comments: 77 pages; to appear in JDG

Subjects: Differential Geometry (math.DG)

[33] arXiv:0710.1844 [pdf, other]

Title: Killing graphs with prescribed mean curvature and Riemannian submersions

Marcos Dajczer, Jorge H. de Lira

Subjects: Differential Geometry (math.DG)

[34] arXiv:0710.1849 [pdf, other]

Title: Regularity of solutions of the isoperimetric problem that are close to a smooth manifold

Stefano Nardulli (LM-Orsay)

Comments: 75 pages, 2 figures, corrected typos, and some minor errors, added more detailed proofs. Accepted in Bulletin of the Brazilian Mathematical Society, 2017

Journal-ref: Bull. Braz. Math. Soc., New Series 49, 199-260, 2018

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

[35] arXiv:0710.1854 [pdf, other]

Title: Area distances of Convex Plane Curves and Improper Affine Spheres

Marcos Craizer, Moacyr Alvim, Ralph Teixeira

Comments: 14 pages 18 figures

Subjects: Differential Geometry (math.DG)

[36] arXiv:0710.1969 [pdf, other]

Title: Pfaffian Systems from Twistor Fibrations

Ramiro Carrillo-Catalán, Akio Yabe

Comments: 18 pages

Subjects: Differential Geometry (math.DG)

[37] arXiv:0710.1975 [pdf, other]

Title: The Levy-Gromov Isoperimetric Inequality in Convex Manifolds with Boundary

Frank Morgan

Comments: 4 pages

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

[38] arXiv:0710.2033 [pdf, other]

Title: Ricci curvature and conformality of Riemannian manifolds to spheres

Salem Eljazi, Najoua Gamara, Habiba Guemri

Comments: 8 pages

Subjects: Differential Geometry (math.DG)

[39] arXiv:0710.2080 [pdf, other]

Title: The classification of simple Jacobi--Ricci commuting algebraic curvature tensors

P. Gilkey, S. Nikcevic

Subjects: Differential Geometry (math.DG)

[40] arXiv:0710.2203 [pdf, other]

Title: Degree one cohomology with twisted coefficients of the mapping class group

Jørgen Ellegaard Andersen, Rasmus Villemoes

Comments: 19 pages, 11 figures

Subjects: Differential Geometry (math.DG)

[41] arXiv:0710.2208 [pdf, other]

Title: On Nurowski's conformal structure associated to a generic rank two distribution in dimension five

Andreas Cap, Katja Sagerschnig

Comments: AMSLaTeX, 23 pages

Journal-ref: J. Geom. Phys. 59 (2009) 901-912

Subjects: Differential Geometry (math.DG)

[42] arXiv:0710.2266 [pdf, other]

Title: Bihermitian metrics on Hopf surfaces

Vestislav Apostolov, Georges Dloussky

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

[43] arXiv:0710.2298 [pdf, other]

Title: Constant curvature foliations on asymptotically hyperbolic spaces

Rafe Mazzeo, Frank Pacard

Comments: 24 pages

Subjects: Differential Geometry (math.DG)

[44] arXiv:0710.2310 [pdf, other]

Title: Integrability of Rough Almost Complex Structures

C. Denson Hill, Michael Taylor

Journal-ref: J. Geometric Analysis 13 (2003), 163-172

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

[45] arXiv:0710.2316 [pdf, other]

Title: The Complex Frobenius Theorem for Rough Involutive Structures

C. Denson Hill, Michael Taylor

Comments: In the two papers by Hill & Taylor, we have adjusted the page height so that the arxiv does not cut off the bottom two lines of each page, being unable to digest our amstex

Journal-ref: Trans. AMS 359 (2007), 293-322

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

[46] arXiv:0710.2375 [pdf, other]

Title: Surgery, Yamabe invariant, and Seiberg-Witten theory

Chanyoung Sung

Subjects: Differential Geometry (math.DG)

[47] arXiv:0710.2379 [pdf, other]

Title: Connected sums with HP^n or CaP^2 and the Yamabe invariant

Chanyoung Sung

Subjects: Differential Geometry (math.DG)

[48] arXiv:0710.2432 [pdf, other]

Title: Isospectral orbifolds with different maximal isotropy orders

Juan Pablo Rossetti, Dorothee Schueth, Martin Weilandt

Comments: 17 pages, 6 figures; revised Theorem 2.5

Journal-ref: Ann. Glob. Anal. Geom. 34 (2008), 351 - 366

Subjects: Differential Geometry (math.DG)

[49] arXiv:0710.2434 [pdf, other]

Title: Integrability of geodesic flows and isospectrality of Riemannian manifolds

Dorothee Schueth

Comments: 19 pages, no figures

Journal-ref: Math. Z. 260 (2008), no. 3, 595-613

Subjects: Differential Geometry (math.DG)

[50] arXiv:0710.2536 [pdf, other]

Title: Isoperimetric regions in spherical cones and Yamabe constants of $M\times S^1$

Jimmy Petean

Comments: 14 pages, new references and a simplification of section 2

Subjects: Differential Geometry (math.DG)