Instability of mean curvature flow in expander coordinates arXiv:2610.32819

The Eguchi Construction Arises from Bi-Lagrangian Structures arXiv:2610.32539 Local rigidity for the sharp Nash inequality arXiv:2610.32560 A complete K\"ahler metric on \mathbb{C}^n of nonnegative Ricci curv... arXiv:2610.32734

Fuglede's theorem in the Heisenberg group arXiv:2610.32393 Characterizations of the plane and the catenoid as capillary minimal... arXiv:2610.32447 Marked length spectrum and area of surfaces with Anosov geodesic flow arXiv:2610.32489

Minimal Surfaces in \mathbb{R}^4 with Three Planar Ends II: Symmetry... arXiv:2610.32111 Dirac eigenvalues and the hyper-hemispherical radius arXiv:2610.32117 The elastic figure-eight knot is not planar arXiv:2610.32320

Sub-Laplacian Comparison Theorem and Gradient Estimates on Complete ... arXiv:2610.31720 The Calabi-Yau and Sullivan conjectures for minimal surfaces with sy... arXiv:2610.31847 Geometric Quantities in Spray Geometry and Their Applications to Fin... arXiv:2610.31896

Positive sectional curvature on exotic spheres in infinitely many di... arXiv:2610.31528 Collapsed translating solitons with planar wings arXiv:2610.31669

Lawlor's curvature criterion and topologically trivial area-minimizi... arXiv:2610.31341 A sharp diameter-mass inequality on Einstein manifolds and ADM mass arXiv:2610.31343 Concavity-Free L^\infty Estimates and Stability for Fully Nonlinear ... arXiv:2610.31453

A Chern-Weil theory for Lie groupoids with Cartan connections arXiv:2610.31219 Three-orbifolds, positive scalar curvature and fundamental group arXiv:2610.31279 Convex-like Submanifolds, Caps and a Volume Comparison Theorem arXiv:2610.31332

Parametrization of ancient Ricci flows with smooth compact tangent s... arXiv:2610.30939 Complete conformal metrics of constant positive scalar curvature wit... arXiv:2610.31058 On global Chern-Calabi flows on compact complex surfaces arXiv:2610.31068

A flat geodesic with a periodic asymptote arXiv:2610.30707 Quermassintegral inequalities for capillary hypersurfaces in a horoball arXiv:2610.30771 Locally symmetric hypersurfaces in globally symmetric spaces arXiv:2610.30848

Generalized Kahler BHE threefolds arXiv:2610.30130

Finite-Shift Inverse-Concavity and Exterior Noncollapsing for Fully ... arXiv:2610.29852 A variational construction for Einstein metrics on connected sums of... arXiv:2610.29882 On complete Ricci--flat K\"ahler manifolds arXiv:2610.29891

The sharp Chern--Simons--Sobolev inequality and its variants arXiv:2610.29769 Fixed geodesics of involutions on 3-spheres arXiv:2610.29796 Rigidity theorems of complete self-shrinkers in the Euclidean space arXiv:2610.29842

Scalar--Mean Rigidity for Hyperbolic Balls in Dimensions 2\le n\le 5 arXiv:2610.29488 Sharp local scalar-curvature rigidity of spherical caps arXiv:2610.29579 Scalar curvature integrals on geodesic balls arXiv:2610.29596

Mean curvature nonpositivity and rational connectedness arXiv:2610.29268 Curvature, second variation and Jacobi fields in elastic diffeology arXiv:2610.29360 Classification of analytic conformal product structures arXiv:2610.29444

Dirichlet eigenvalue asymptotics on conformally compact Einstein man... arXiv:2610.28995 Isotropy sets of periodic geodesic flows on three dimensional manifolds arXiv:2610.29017 Ramification and Finiteness of Equivariant Minimal Surfaces arXiv:2610.29263

On Lorentzian torse-forming structure manifolds arXiv:2610.28651 Free boundary minimal hypersurfaces of Morse index one in Eucildean ... arXiv:2610.28824 Calibrations close to \mathrm{G}_2-twistor space arXiv:2610.28980

Hyperbolic comparison and rigidity for the hyperspherical radius arXiv:2610.28450 On the Geometry of Low Rank Correlation Matrices arXiv:2610.28475 The \lambda>0 case for \Delta u=\lambda-c e^u type equation on high ... arXiv:2610.28520

K\"ahler-Ricci Shrinkers with Nonnegative Ricci Curvature arXiv:2610.28238 Area gaps for minimal surfaces in spheres arXiv:2610.28317 A note on the cube inequality arXiv:2610.28390

Non-null ruled surfaces and pseudo hyper-dual tangent sphere bundles arXiv:2610.27809 An L^1 bound for Ricci curvature on K\"ahler manifolds arXiv:2610.28142 On the spectrum of the biharmonic Steklov operator with Neumann boun... arXiv:2610.28181