arXiv math.DG Differential Geometry

Statistical Uniformization of Surfaces by Heat-Kernel Fisher Informa... arXiv:2610.37520

Localization of weighted Goldman volume on \mathrm{SL}(3,\R)-Hitchin... arXiv:2610.37317 The Geometry of Manifold Learning: Singular foliations via Deep Lear... arXiv:2610.37370 A periodic minimal hypersurface in Euclidean 4-space with Clifford c... arXiv:2610.37453

Rigidity of Constant-Scalar-Curvature Ricci Shrinkers with Totally G... arXiv:2610.37151 An Anisotropic Entropy for the Rotationally Symmetric Ricci Flow arXiv:2610.37154 On Landsberg Unicorns of General (\alpha,\beta)-Type arXiv:2610.37241

Pontrjagin Classes of Locally Spherically Symmetric Projectively Aff... arXiv:2610.36841 Quantitative Rigidity of Ricci Nonnegative Manifolds via the Regular... arXiv:2610.36998 New inhomogeneous Bismut Hermitian-Einstein threefolds with large sy... arXiv:2610.37102

Grassmannian Realizations of Classical Pseudo-Riemannian Symmetric S... arXiv:2610.36724 The Costa surface with a free-boundary hole: an embedded exterior fr... arXiv:2610.36741 Cartan-Ambrose-Hicks theorems and dual geodesic symmetries on statis... arXiv:2610.36803

L^p Convergence of AMV Laplacians on completions of Riemannian manif... arXiv:2610.36125 A convexity theorem for proper Dupin hypersurfaces in spheres arXiv:2610.36366 O(3)-symmetry of four-dimensional steady Ricci solitons arXiv:2610.36563

Formal Neighborhood Equivariant Cohomology and Kirwan Surjectivity a... arXiv:2610.35936 Rigidity and Affine Deformations of Foliations on Nilpotent and Solv... arXiv:2610.35940 Spectral \Gamma_2 inequalities for the V-Laplacian with evolving wei... arXiv:2610.36091

Properly embedded Legendrian surfaces in the tangent sphere bundle o... arXiv:2610.35812 Morse index characterization of the Veronese projective plane arXiv:2610.35820 Nonabelian Higgs fields from minimal submanifolds arXiv:2610.35837

Curvature quotient flows and Alexandrov--Fenchel inequalities in hyp... arXiv:2610.35707 Yang-Mills-Higgs Limits of Reflexive Higgs Sheaves arXiv:2610.35742 The Weyl Problem for Planar CBB(-1) Surfaces in Hyperbolic 3-Space arXiv:2610.35744

Uniform large-genus asymptotics of Weil-Petersson volumes arXiv:2610.35492 Pure Type-One Generalized Hypercomplex Structures in Dimension Four arXiv:2610.35557 Index and nullity of critical spherical catenoids in hyperbolic thre... arXiv:2610.35651

Bach-flat metrics and global regularity of conformal structures arXiv:2610.35257 Determinants of Dirichlet and Neumann Laplacians on Constant Curvatu... arXiv:2610.35383 The quermassintegral inequalities for k-convex spiral-star-shaped do... arXiv:2610.35394

Embedded minimal surfaces with three ends associated with the Hoffma... arXiv:2610.34856 Genus Increase in Closed Mean Curvature Flows arXiv:2610.35000 Singular Limits of Frame Bundles of Noncollapsing Positively Curved ... arXiv:2610.35146

Chern holonomy under the first and second Chern--Ricci flows arXiv:2610.34665 Constant Chern holomorphic sectional curvature on two-step solvmanif... arXiv:2610.34820 A complete parameter classification of left-invariant Bott affine Ri... arXiv:2610.34835

Small eigenvalues of negatively curved manifolds with finite volume arXiv:2610.34337 Pseudo-Calabi Flow on Toric Variety arXiv:2610.34340 Sharp diameter estimates via integral geometry arXiv:2610.34367

Sharp gradient comparison and rigidity for semilinear equations on m... arXiv:2610.34207 Clifford-weighted residues, partial spectral curvature, and torsion arXiv:2610.34256 Length bounds and rigidity for ancient curve shortening flow on warp... arXiv:2610.34274

A simple construction of smooth counterexamples to the Loewner and C... arXiv:2610.34036 Refined analysis on finite-time singularities of almost-holomorphic ... arXiv:2610.34132 K-energy for the coupled constant scalar curvature K\"{a}hler equati... arXiv:2610.34145

Price's law for scalar waves on 1+4 dimensional subextremal Myers-Pe... arXiv:2610.33812 Extrinsic Curvature Estimation by Closest Point Projection of Rays arXiv:2610.33943 A note on \sigma_k maximal conformal volume arXiv:2610.33986

Volume of area-bounded PGL3-Hitchin moduli space arXiv:2610.33417 Hitchin's \alpha-invariant and positive sectional curvature on homot... arXiv:2610.33474 Multi-marginal optimal transport on sub-Riemannian manifolds arXiv:2610.33721

Space curves in Hahn calculus: rotation structure, a fundamental the... arXiv:2610.33084 Singular Atiyah Configurations arXiv:2610.33090 Rigidity and deformations of Besse families of minimal hypersurfaces arXiv:2610.33261

Instability of mean curvature flow in expander coordinates arXiv:2610.32819