An integral formula for affine connections
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Publication:2411218
DOI10.1007/s12220-017-9771-xzbMath1376.53032arXiv1609.01008OpenAlexW2963972227MaRDI QIDQ2411218
Publication date: 20 October 2017
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.01008
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Linear and affine connections (53B05) Methods of local Riemannian geometry (53B21)
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Cites Work
- Unnamed Item
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- Constant mean curvature surfaces in warped product manifolds
- A Minkowski type inequality in space forms
- Minkowski formulae and Alexandrov theorems in spacetime
- Compact hypersurfaces with constant higher order mean curvatures
- Geometric applications of the solvability of Neumann problems on a Riemannian manifold
- The weighted connection and sectional curvature for manifolds with density
- Brendle's inequality on static manifolds
- An Alexandroff-Bakelman-Pucci estimate on Riemannian manifolds
- Brascamp-Lieb-type inequalities on weighted Riemannian manifolds with boundary
- An integral formula and its applications on sub-static manifolds
- On the Hessian of a function and the curvature of its graph
- A Generalization of Reilly's Formula and its Applications to a New Heintze–Karcher Type Inequality
- A general comparison theorem with applications to volume estimates for submanifolds
- A Minkowski Inequality for Hypersurfaces in the Anti‐de Sitter‐Schwarzschild Manifold
- Riemannian Geometry
- Scalar curvature deformation and a gluing construction for the Einstein constraint equations