The isoperimetric problem in the Riemannian manifold admitting a non-trivial conformal vector field
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Publication:6663207
DOI10.1007/S00208-024-02954-1MaRDI QIDQ6663207
Publication date: 14 January 2025
Published in: Mathematische Annalen (Search for Journal in Brave)
Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Conformal structures on manifolds (53C18) Flows related to mean curvature (53E10)
Cites Work
- Title not available (Why is that?)
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- Large outlying stable constant mean curvature spheres in initial data sets
- Flow by mean curvature of convex surfaces into spheres
- Nonlinear evolution by mean curvature and isoperimetric inequalities
- Existence and uniqueness of constant mean curvature foliation of asymptotically hyperbolic 3-manifolds
- The heat equation shrinking convex plane curves
- Stable constant mean curvature hypersurfaces in some Riemannian manifolds
- Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
- Large isoperimetric surfaces in initial data sets
- Global uniqueness of large stable CMC spheres in asymptotically flat Riemannian \(3\)-manifolds
- Alexandrov-Fenchel type inequalities in the sphere
- Locally constrained curvature flows and geometric inequalities in hyperbolic space
- Unique isoperimetric foliations of asymptotically flat manifolds in all dimensions
- A geometric inequality on hypersurface in hyperbolic space
- Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space
- Hyperbolic Alexandrov-Fenchel quermassintegral inequalities. II
- Conformal transformations of Riemannian manifolds
- Certain conditions for a Riemannian manifold to be isometric with a sphere
- A fully-nonlinear flow and quermassintegral inequalities in the sphere
- Isoperimetry for asymptotically flat 3-manifolds with positive ADM mass
- On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
- The volume preserving mean curvature flow.
- Unicity of constant mean curvature hypersurfaces in some riemannian manifolds
- Isoperimetry, Scalar Curvature, and Mass in Asymptotically Flat Riemannian 3‐Manifolds
- Isoperimetric Type Inequalities and Hypersurface Flows
- The isoperimetric inequality for a minimal submanifold in Euclidean space
- A volume preserving flow and the isoperimetric problem in warped product spaces
- A Mean Curvature Type Flow in Space Forms
- Differential Geometry of Warped Product Manifolds and Submanifolds
- The Conformal Transformation Group of a Compact Riemannian Manifold
- Concircular geometry I. Concircular transformations
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