An integral formula and its applications on sub-static manifolds

DOI10.4310/jdg/1573786972zbMath1433.53059arXiv1603.02201OpenAlexW2986788534WikidataQ115165168 ScholiaQ115165168MaRDI QIDQ2335710

Yanyan Li

Publication date: 15 November 2019

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02201

zbMATH Keywords

Minkowski inequalityhoro-convex hypersurfacesstatic convex hypersurfacessub-static manifolds

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

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New integral estimates in substatic Riemannian manifolds and the Alexandrov theorem ⋮ A geometric capacitary inequality for sub-static manifolds with harmonic potentials ⋮ An integral formula for affine connections ⋮ Geometric inequalities for free boundary hypersurfaces in a ball ⋮ Some De Lellis-Topping type inequalities and their applications on an NCC Riemannian triple with boundary ⋮ Estimates for the first eigenvalue of diffusion-type operators in weighted manifolds ⋮ Some integral inequalities on weighted Riemannian manifolds with boundary ⋮ Estimates for the first eigenvalues of the affine Laplacian ⋮ Heintze–Karcher and Jellett‐type theorems in conformally flat spaces ⋮ A partially overdetermined problem in domains with partial umbilical boundary in space forms ⋮ A Heintze-Karcher type inequality in hyperbolic space ⋮ Some almost-Schur type inequalities and applications on sub-static manifolds ⋮ A Heintze-Karcher-type inequality for hypersurfaces with capillary boundary ⋮ Brendle's inequality on static manifolds ⋮ Serrin's type overdetermined problems in convex cones ⋮ Uniqueness of stable capillary hypersurfaces in a ball ⋮ Colesanti type inequalities for affine connections

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