Differential Geometry

Authors and titles for October 2007

[51] arXiv:0710.2574 [pdf, other]

Title: A Comparison Theorem and A Sharp Bound via the Ricci Flow

Jun Ling

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

[52] arXiv:0710.2585 [pdf, other]

Title: Conformal Dirichlet-Neumann Maps and Poincar\'e-Einstein Manifolds

A. Rod Gover

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), 100, 21 pages

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

[53] arXiv:0710.2616 [pdf, other]

Title: Classification of complete Finsler manifolds through a second order differential equation

A. Asanjarani, B. Bidabad

Journal-ref: Differential Geometry and its Applications 26 (2008) 434--444

Subjects: Differential Geometry (math.DG); Category Theory (math.CT)

[54] arXiv:0710.2661 [pdf, other]

Title: Affine Geometry of Space Curves

Mehdi Nadjafikhah, Ali Mahdipour Shirayeh

Comments: 17 pages

Journal-ref: Differential Geometry - Dynamical Systems, Vol.13, 2011, pp. 191-200

Subjects: Differential Geometry (math.DG)

[55] arXiv:0710.2662 [pdf, other]

Title: Affine Classification of n-Curves

Mehdi Nadjafikhah, Ali Mahdipour Shirayeh

Comments: 8 pages, accepted by "vol. 13 / 2008 of the journal Balkan Journal of Geometry and Its Applications"

Journal-ref: Balkan Journal of Geometry and Its Applications, 13(2): pp. 66-73, 2008

Subjects: Differential Geometry (math.DG)

[56] arXiv:0710.2699 [pdf, other]

Title: Lower bounds for warping functions on warped-product AHE manifolds

Mohammad Javaheri

Comments: 7 pages

Subjects: Differential Geometry (math.DG)

[57] arXiv:0710.2719 [pdf, other]

Title: Branes on Poisson varieties

Marco Gualtieri

Comments: Dedicated to Nigel Hitchin on the occasion of his sixtieth birthday. Corrected several errors and added references

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

[58] arXiv:0710.2816 [pdf, other]

Title: A classification of some Finsler connections and their applications

B. Bidabad, A. Tayebi

Comments: 14 pages and one table

Journal-ref: Publ. Math. Debrecen, vol. 71/3-4, 253-266 (2007)

Subjects: Differential Geometry (math.DG)

[59] arXiv:0710.2911 [pdf, other]

Title: Spectral isolation of bi-invariant metrics on compact Lie groups

Carolyn S. Gordon, Dorothee Schueth, Craig J. Sutton

Comments: 10 pages, new title, revised abstract and introduction, minor typos corrected, to appear in Ann. Inst. Fourier (Grenoble)

Journal-ref: Ann. Inst. Fourier 60 (2010), no. 5, 1617-1628

Subjects: Differential Geometry (math.DG)

[60] arXiv:0710.3031 [pdf, other]

Title: On a rigidity condition for Berwald Spaces

Ricardo Gallego Torrome, Fernando Etayo

Comments: 19 pages; version acepted for publication in RACSAM

Subjects: Differential Geometry (math.DG)

[61] arXiv:0710.3115 [pdf, other]

Title: Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov Bihamiltonian Structures

Boris Dubrovin, Si-Qi Liu, Youjin Zhang

Comments: 73 pages, no figures

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

[62] arXiv:0710.3174 [pdf, other]

Title: Rigidity of gradient Ricci Solitons

Peter Petersen, William Wylie

Comments: 16 pages

Subjects: Differential Geometry (math.DG)

[63] arXiv:0710.3194 [pdf, other]

Title: On a classification of the gradient shrinking solitons

Lei Ni, Nolan Wallach

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

[64] arXiv:0710.3195 [pdf, other]

Title: On 4-dimensional gradient shrinking solitons

Lei Ni, Nolan Wallach

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

[65] arXiv:0710.3245 [pdf, other]

Title: The decomposition of the spinor bundle of Grassmann manifolds

Frank Klinker

Comments: 30 pages. v2 coincides with published version

Journal-ref: J. Math. Phys. 48, 113511 (2007)

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

[66] arXiv:0710.3327 [pdf, other]

Title: A la Fock-Goncharov coordinates for PU(2,1)

Julien Marche, Pierre Will

Comments: 23 pages, 2 figures

Subjects: Differential Geometry (math.DG)

[67] arXiv:0710.3342 [pdf, other]

Title: The Conjugate Linearized Ricci Flow on Closed 3-Manifolds

Mauro Carfora

Comments: We added a few references and indications of which result extends to n-dimensional manifold. A few complex computations have been presented in full detail. This version of the paper matches the work to appear in Annali della Scuola Normale Superiore di Pisa

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

[68] arXiv:0710.3573 [pdf, other]

Title: On the failure of the Poincar\'e Lemma for de-bar-sub-M II

C.Denson Hill, Mauro Nacinovich

Journal-ref: Math. Ann. 335 (2006), 193-219

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

[69] arXiv:0710.3595 [pdf, other]

Title: On gradient Ricci solitons with Symmetry

Peter Petersen, William Wylie

Comments: 7 pages, final version, to appear in Proc. of AMS

Subjects: Differential Geometry (math.DG)

[70] arXiv:0710.3637 [pdf, other]

Title: A Rigidity Theorem for Affine K\"ahler-Ricci Flat Graph

An-Min Li, Ruiwei Xu

Comments: 24 pages

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

[71] arXiv:0710.3667 [pdf, other]

Title: Conformal changes of generalized complex structures

Izu Vaisman

Comments: LaTex, 14 pages, Correction in Proposition 3.2

Journal-ref: An. Stiint. Univ. Iasi, Mat. 54 (2008), 1-14

Subjects: Differential Geometry (math.DG)

[72] arXiv:0710.3668 [pdf, other]

Title: Harmonic sections of tangent bundles equipped with Riemannian $g$-natural metrics

M.T.K. Abbassi, G. Calvaruso, D. Perrone

Comments: 27 pages

Subjects: Differential Geometry (math.DG)

[73] arXiv:0710.3770 [pdf, other]

Title: Cohomogeneity one manifolds and selfmaps of nontrivial degree

Thomas Puettmann

Comments: v2, v3: minor improvements

Journal-ref: Transform. Groups 14 (2009), 225-247

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

[74] arXiv:0710.3814 [pdf, other]

Title: Finsleroid-Finsler Space of Involutive Case

G.S. Asanov

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

[75] arXiv:0710.3825 [pdf, other]

Title: Product and anti-Hermitian structures on the tangent space

E. Peyghan, A. Razavi, A. Heydari

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

[76] arXiv:0710.3909 [pdf, other]

Title: On the Existence of Global Bisections of Lie Groupoids

Z. Chen, Z.-J. Liu, D.-S. Zhong

Comments: 17 pages, 7 figures

Subjects: Differential Geometry (math.DG)

[77] arXiv:0710.3912 [pdf, other]

Title: The sectional curvature remains positive when taking quotients by certain nonfree actions

Semyon Dyatlov

Comments: 26 pages, 1 figure. Changed the spelling of the author's name

Journal-ref: Published in Siberian Advances in Mathematics 18(2008), pages 1-20

Subjects: Differential Geometry (math.DG)

[78] arXiv:0710.3919 [pdf, other]

Title: Bounding sectional curvature along a K\"ahler-Ricci flow

Wei-Dong Ruan, Yuguang Zhang, Zhenlei Zhang

Subjects: Differential Geometry (math.DG)

[79] arXiv:0710.3920 [pdf, other]

Title: An Introduction to Potential Theory in Calibrated Geometry

F. Reese Harvey, H. Blaine Lawson Jr

Comments: Minor improvements have been made to the exposition

Journal-ref: Amer. J. Math. 131 no. 4 (2009), 893-944

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

[80] arXiv:0710.3921 [pdf, other]

Title: Duality of Positive Currents and Plurisubharmonic Functions in Calibrated Geometry

F. Reese Harvey, H. Blaine Lawson Jr

Comments: Minor typographical errors have been corrected

Journal-ref: Amer. J. Math. 131 no. 5 (2009), 1211-1240

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

[81] arXiv:0710.3924 [pdf, other]

Title: Convexity properties for generalized moment maps I

Yasufumi Nitta

Comments: 12pages

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

[82] arXiv:0710.3947 [pdf, other]

Title: First Eigenvalues of Geometric Operators under the Ricci Flow

Xiaodong Cao

Comments: 5 pages, add one more reference

Subjects: Differential Geometry (math.DG)

[83] arXiv:0710.4233 [pdf, other]

Title: Hamiltonian stationary Lagrangian tori contained in a hypersphere

Katsuhiro Moriya

Comments: This paper has been withdrawn by the author because the result is trivial

Subjects: Differential Geometry (math.DG)

[84] arXiv:0710.4270 [pdf, other]

Title: Spin-c Prequantization and Symplectic Cutting

Shay Fuchs

Comments: 23 pages. A section on prequantizing CP^n was added

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

[85] arXiv:0710.4291 [pdf, other]

Title: A Class of Monotonic Quantities along the Ricci Flow

Jun Ling

Comments: The only revision from the previous version dated October 23 1007 (yesterday) is that we have added a remark (Line 6 to line 4 from the bottom on Page 1) on our Referece [6] to make our citation clearer

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

[86] arXiv:0710.4307 [pdf, other]

Title: The quermassintegral inequalities for starshaped domains

Pengfei Guan, Junfang Li

Comments: 7 pages

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

[87] arXiv:0710.4310 [pdf, other]

Title: On two-Dimensional Holonomy

Joao Faria Martins, Roger Picken

Comments: 46 pages. Preliminary version, a perfected version will appear in Transactions of the American Matematical Society

Journal-ref: Trans. Amer. Math. Soc. 362 (2010), 5657-5695

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

[88] arXiv:0710.4326 [pdf, other]

Title: Some Asymptotic Behavior of the first Eigenvalue along the Ricci Flow

Jun Ling

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

[89] arXiv:0710.4340 [pdf, other]

Title: Differential characters as stacks and prequantization

Eugene Lerman, Anton Malkin

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

[90] arXiv:0710.4366 [pdf, other]

Title: Conformally parametrized surfaces associated with CP^(N-1) sigma models

A. M. Grundland, W. A. Hereman, I. Yurdusen

Comments: 32 pages

Journal-ref: J. Phys. A: Math. Theor. 41 (2008) 065204

Subjects: Differential Geometry (math.DG)

[91] arXiv:0710.4414 [pdf, other]

Title: A remark on odd dimensional normalized Ricci flow

Hong Huang

Comments: 2 pages, some minor corrections and improvements

Subjects: Differential Geometry (math.DG)

[92] arXiv:0710.4441 [pdf, other]

Title: Calabi-Yau cones from contact reduction

Diego Conti, Anna Fino

Comments: 30 pages; v2: typos corrected, presentation improved, one reference added. To appear in Ann. Glob. Analysis and Geometry

Journal-ref: Annals of Global Analysis and Geometry, 2010, Volume 38, Number 1, Pages 93-118

Subjects: Differential Geometry (math.DG)

[93] arXiv:0710.4492 [pdf, other]

Title: Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds

Sorin Dumitrescu, Abdelghani Zeghib

Comments: 28 pages

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

[94] arXiv:0710.4494 [pdf, other]

Title: Mean-value property on manifolds with minimal horospheres

Leonard Todjihounde

Comments: A slightly edited version will appear in Journal of the Australian Mathematical Society

Subjects: Differential Geometry (math.DG)

[95] arXiv:0710.4497 [pdf, other]

Title: Curvatures of Smooth and Discrete Surfaces

John M. Sullivan (TU Berlin)

Comments: 14 pages, to appear in "Discrete Differential Geometry", Oberwolfach Seminars 38, Birkhauser, 2008

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

[96] arXiv:0710.4579 [pdf, other]

Title: Limits of Calabi-Yau metrics when the Kahler class degenerates

Valentino Tosatti

Comments: 22 pages; a new L^infty estimate in section 4; to appear in this http URL. 2009

Journal-ref: J. Eur. Math. Soc. (JEMS) 11 (2009), no.4, 755-776.

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

[97] arXiv:0710.5041 [pdf, other]

Title: A Remark on Almost Umbilical Hypersurfaces

Julien Roth (LAMA)

Comments: 8 pages

Journal-ref: Archivum Mathematicum 49, 1 (2013) 1-7

Subjects: Differential Geometry (math.DG)

[98] arXiv:0710.5109 [pdf, other]

Title: Degenerate complex Monge-Amp\`ere equations over compact K\"ahler manifolds

Jean-Pierre Demailly, Nefton Pali

Comments: The present manuscript expands and completes a paper accepted for publication in the International Journal of Mathematics, which had to be shortened in view of the length of the manuscript and of the demands of referees - in particular it gives more details about the relation with the existing litterature (see Appendix C)

Subjects: Differential Geometry (math.DG)

[99] arXiv:0710.5159 [pdf, other]

Title: The Calabi flow on K\"ahler surface with bounded Sobolev constant

Xiuxiong Chen, Weiyong He

Comments: The paper is completely rewritten from the previous version

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

[100] arXiv:0710.5204 [pdf, other]

Title: K\"ahler Ricci flow on Fano surfaces (I)

Xiuxiong Chen, Bing Wang

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