Differential Geometry

Authors and titles for math.DG in Feb 2023, skipping first 25

[26]  arXiv:2302.02862 [pdf, other]

Title: Parabolic quasi-contact cone structures with an infinitesimal symmetry

Authors: Omid Makhmali, Katja Sagerschnig

Comments: 70 pages; 1 figure; exposition is improved; minor corrections are made; two references are added

Subjects: Differential Geometry (math.DG)

[27]  arXiv:2302.03013 [pdf, ps, other]

Title: Scalar curvature estimation of Generalized Ricci-Yamabe solitons

Authors: Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal

Comments: 11 pages

Subjects: Differential Geometry (math.DG)

[28]  arXiv:2302.03199 [pdf, ps, other]

Title: Existence of the $(α,β)$-Ricci-Yamabe flow on closed manifolds

Authors: Liangdi Zhang

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

[29]  arXiv:2302.03208 [pdf, ps, other]

Title: The sub-Riemannian geometry of screw motions with constant pitch

Authors: Eduardo Hulett, Ruth Paola Moas, Marcos Salvai

Comments: We have corrected some typos and mistakes, added some references and improved the presentation

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

[30]  arXiv:2302.03354 [pdf, ps, other]

Title: Degenerate complex Hessian equations on compact Hermitian manifolds

Authors: Vincent Guedj, Chinh H. Lu

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

[31]  arXiv:2302.03378 [pdf, other]

Title: Closed $1/2$-Elasticae in the Hyperbolic Plane

Authors: Emilio Musso, Alvaro Pampano

Subjects: Differential Geometry (math.DG)

[32]  arXiv:2302.03422 [pdf, ps, other]

Title: Bimeromorphic geometry of LCK manifolds

Authors: Liviu Ornea, Misha Verbitsky

Comments: 9 pages

Journal-ref: Proc. Amer. Math. Soc. 152 (2024), 701-707

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

[33]  arXiv:2302.03809 [pdf, other]

Title: Shur type comparison theorems for affine curves with application to lattice point estimates

Authors: Ralph Howard

Comments: 32 pages, 9 figures

Subjects: Differential Geometry (math.DG)

[34]  arXiv:2302.04047 [pdf, other]

Title: Iterating skew evolutes and skew involutes: a linear analog of the bicycle kinematics

Authors: Serge Tabachnikov

Comments: A complete revision to account for previously known results

Subjects: Differential Geometry (math.DG)

[35]  arXiv:2302.04382 [pdf, ps, other]

Title: On the relative isoperimetric problem for the cube

Authors: Gregory R. Chambers, Lawrence Mouillé

Comments: 17 pages, 0 figures, comments welcome

Subjects: Differential Geometry (math.DG)

[36]  arXiv:2302.04480 [pdf, ps, other]

Title: The range of a connection and a Calabi operator for Lorentzian locally symmetric spaces

Authors: Federico Costanza, Michael Eastwood, Thomas Leistner, Benjamin McMillan

Comments: 25 pages

Subjects: Differential Geometry (math.DG)

[37]  arXiv:2302.04597 [pdf, ps, other]

Title: The tt*-Toda equations of A_n type

Authors: Martin A. Guest, Alexander R. Its, Chang-Shou Lin

Comments: 68 pages, 7 figures. Typographical errors have been corrected in this version

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

[38]  arXiv:2302.04964 [pdf, ps, other]

Title: Ancient Ricci pancakes of bounded girth

Authors: Theodora Bourni, Timothy Buttsworth, Ramiro Lafuente, Mat Langford

Comments: 26 pages, no figures

Subjects: Differential Geometry (math.DG)

[39]  arXiv:2302.04966 [pdf, other]

Title: Stability conditions and canonical metrics

Authors: John Benjamin McCarthy

Comments: PhD Thesis

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

[40]  arXiv:2302.05233 [pdf, other]

Title: Fundamentals of Lie categories

Authors: Žan Grad

Comments: 38 pages

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

[41]  arXiv:2302.05239 [pdf, ps, other]

Title: Canonical connections attached to generalized quaternionic and para-quaternionic structures

Authors: Adara M. Blaga, Antonella Nannicini

Comments: 37 pages

Subjects: Differential Geometry (math.DG)

[42]  arXiv:2302.05474 [pdf, ps, other]

Title: On the notion of Laplacian bounds on $\mathrm{RCD}$ spaces and applications

Authors: Nicola Gigli, Andrea Mondino, Daniele Semola

Comments: Comments are welcome!

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

[43]  arXiv:2302.05521 [pdf, other]

Title: The Conformal Laplacian and Positive Scalar Curvature Metrics on Manifolds with Boundary

Authors: Steven Rosenberg, Daniel Ruberman, Jie Xu

Subjects: Differential Geometry (math.DG)

[44]  arXiv:2302.05714 [pdf, ps, other]

Title: Sharp inequalities and solitons for statistical submersions

Authors: Mohd. Danish Siddiqi, Aliya Naaz Siddiqui, Bang-Yen Chen

Comments: 15 pages

Subjects: Differential Geometry (math.DG)

[45]  arXiv:2302.05770 [pdf, ps, other]

Title: Compactness of singular solutions to the sixth order GJMS equation

Authors: João Henrique Andrade, João Marcos do Ò, Jesse Ratzkin, Juncheng Wei

Comments: 20 pages, 1 figure

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

[46]  arXiv:2302.05854 [pdf, ps, other]

Title: An isoperimetric inequality for the harmonic mean of Steklov eigenvalues in rank one symmetric spaces

Authors: Hemangi Madhusudan Shah, Sheela Verma

Subjects: Differential Geometry (math.DG)

[47]  arXiv:2302.06040 [pdf, other]

Title: Equality in the spacetime positive mass theorem II

Authors: Lan-Hsuan Huang, Dan A. Lee

Comments: some names changed and references updated

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

[48]  arXiv:2302.06105 [pdf, ps, other]

Title: Austere Matrices, Austere Submanifolds and Dupin Hypersurfaces

Authors: Jianquan Ge, Yi Zhou

Comments: 26 pages, any comments are welcome

Subjects: Differential Geometry (math.DG)

[49]  arXiv:2302.06197 [pdf, ps, other]

Title: Polyharmonic surfaces in $3$-dimensional homogeneous spaces

Authors: Stefano Montaldo, Cezar Oniciuc, Andrea Ratto

Comments: 24 pages, 2 figures

Subjects: Differential Geometry (math.DG)

[50]  arXiv:2302.06538 [pdf, ps, other]

Title: Compact anisotropic stable hypersurfaces with free boundary in convex solid cones

Authors: César Rosales

Comments: 17 pages, no figures

Subjects: Differential Geometry (math.DG)