M. S. Santos
Compactness theorems for the Bakry-Emery Ricci tensor on semi-Riemannian manifolds

Comment.Math.Univ.Carolin. 58,1 (2017) 79-86.

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.

Keywords: Bakry-Emery Ricci curvature tensor; closure theorem; Riccati equation

DOI: DOI 10.14712/1213-7243.2015.177
AMS Subject Classification: 53C20