Submanifolds immersed in Riemannian spaces endowed with a Killing vector field: nonexistence and rigidity
type: Item
instance of: scholarly article
title: Submanifolds immersed in Riemannian spaces endowed with a Killing vector field: nonexistence and rigidity
zbMATH Open document ID: 1466.53073
author: Allan G. Freitas
author: Henrique Fernandes de Lima
author: Márcio S. Santos
author: Eraldo A. jun. Lima
published in: Differential Geometry and its Applications
publication date: 2021-04-29T00:00:00Z
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 7341145
zbMATH Keywords: Killing vector field
zbMATH Keywords: complete submanifolds
zbMATH Keywords: mean curvature vector field
zbMATH Keywords: mean curvature flow soliton
zbMATH Keywords: totally geodesic hypersurfaces
zbMATH Keywords: Bakry-Émery-Ricci tensor
Wikidata QID: Q115354642
MaRDI profile type: Publication
full work available at URL: j.difgeo.2020.101714
OpenAlex ID: W3118367612
cites work: A characteristic property of spheres
cites work: A Bernstein-type theorem for Riemannian manifolds with a Killing field
cites work: Mean curvature flow solitons in the presence of conformal vector fields
cites work: Maximum Principles and Geometric Applications
cites work: Submanifolds immersed in a warped product: Rigidity and nonexistence
cites work: Q5186515
cites work: Q4720334
cites work: Una maggiorazione a priori relativa alle ipersuperfici minimali non parametriche
cites work: A Liouville-type theorem for smooth metric measure spaces
cites work: The geometry of closed conformal vector fields on Riemannian spaces
cites work: On Alexandrov-Bernstein theorems in hyperbolic space
cites work: Rigidity of quasi-Einstein metrics
cites work: On the curvatures of a piece of hypersurface in Euclidean space
cites work: Simple proofs of two theorems on minimal surfaces
cites work: Killing graphs with prescribed mean curvature
cites work: Entire bounded constant mean curvature Killing graphs
cites work: Entire unbounded constant mean curvature Killing graphs
cites work: Remark on Mean Curvature
cites work: Cosmological singularities in Bakry-Émery spacetimes
cites work: Compact Einstein warped product spaces with nonpositive scalar curvature
cites work: Hypersurfaces of Einstein manifolds
cites work: On the volume functional of compact manifolds with boundary with constant scalar curvature
cites work: Q5312205
cites work: On gradient Ricci solitons
cites work: Isometric immersions of Riemannian manifolds
cites work: Q3312869
cites work: Rigidity of gradient Ricci solitons
cites work: Vanishing theorems on Riemannian manifolds, and geometric applications
cites work: Maximum principles on Riemannian manifolds and applications
cites work: Remarks on non-compact gradient Ricci solitons
cites work: The half-space property and entire positive minimal graphs in \(M \times \mathbb{R}\).
cites work: Parabolicity of manifolds
cites work: Comparison geometry for the Bakry-Emery Ricci tensor
cites work: Scalar–tensor gravitation and the Bakry–Émery–Ricci tensor
cites work: Harmonic functions on complete riemannian manifolds
DOI: 10.1016/J.DIFGEO.2020.101714
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description: scientific article; zbMATH DE number 7341145