Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds

M. S. Santos

Commentationes Mathematicae Universitatis Carolinae (2017)

  • Volume: 58, Issue: 1, page 79-86
  • ISSN: 0010-2628

Abstract

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In this manuscript we provide new extensions for the Myers theorem in weighted Riemannian and Lorentzian manifolds. As application we obtain a closure theorem for spatial hypersurfaces immersed in some time-like manifolds.

How to cite

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Santos, M. S.. "Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds." Commentationes Mathematicae Universitatis Carolinae 58.1 (2017): 79-86. <http://eudml.org/doc/287866>.

@article{Santos2017,
abstract = {In this manuscript we provide new extensions for the Myers theorem in weighted Riemannian and Lorentzian manifolds. As application we obtain a closure theorem for spatial hypersurfaces immersed in some time-like manifolds.},
author = {Santos, M. S.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Bakry-Emery Ricci curvature tensor; closure theorem; Riccati equation},
language = {eng},
number = {1},
pages = {79-86},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds},
url = {http://eudml.org/doc/287866},
volume = {58},
year = {2017},
}

TY - JOUR
AU - Santos, M. S.
TI - Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2017
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 58
IS - 1
SP - 79
EP - 86
AB - In this manuscript we provide new extensions for the Myers theorem in weighted Riemannian and Lorentzian manifolds. As application we obtain a closure theorem for spatial hypersurfaces immersed in some time-like manifolds.
LA - eng
KW - Bakry-Emery Ricci curvature tensor; closure theorem; Riccati equation
UR - http://eudml.org/doc/287866
ER -

References

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