New characterizations of hyperbolic cylinders in semi-Riemannian space forms

Through the study of the so-called linear Weingarten spacelike submanifolds immersed with parallel normalized mean curvature vector in a semi-Riemannian space form Q(p)(n+p)(c) of index p and constant sectional curvature c is an element of{-1,0,1}, our aim in this paper is establish new characterizations for the hyperbolic cylinders of Q(p)(n+p)(c). Our approach is based on the use of a Simons type formula related to an appropriated Cheng-Yau modified operator jointly with the application of suitable generalized maximum principles. (C) 2015 Elsevier Inc. All rights reserved.