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 Qpn+p(c) of index p and constant sectional curvature c∈{−1,0,1}, our aim in this paper is establish new characterizations for the hyperbolic cylinders of Qpn+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.