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

Rotations, Shears, and Two-Generation on Spheres arXiv:2610.27507 Gauge theory on Cohomogeneity One Spin(7)-Manifolds from Aloff--Wall... arXiv:2610.27686 Eliminating the Higgs field and perturbing Yang-Mills connections in... arXiv:2610.27734

Geometry of a class of \varphi-minimal surfaces in \mathbb{H}^2\time... arXiv:2610.27187 L^{p}-parabolicity of Riemannian manifolds arXiv:2610.27302 Triviality of K-homology classes of Euler characteristic operators o... arXiv:2610.27476

Elastic knots: compactness, contact, and variational structure arXiv:2610.26823

Rigidity of Euclidean Convex Fillings for Ordinary Ambrosio--Kirchhe... arXiv:2610.26477 Low dimensional C-spaces arXiv:2610.26481 Curvature distributions and the Steiner formula for characteristic s... arXiv:2610.26706

Willmore energy and minimal fillings arXiv:2610.26331 Biconservative hypersurfaces in space forms with harmonic curvature arXiv:2610.26376 From Chaplygin Sleigh to Torpedo: An~example of a~Cartan-Geometric V... arXiv:2610.26439