We prove a Simons type formula for submanifolds with parallel mean curvature vector field in product spaces of type , where is a space form with constant sectional curvature , and then we use it to characterize some of these submanifolds.
Cite this article
Dorel Fetcu, Harold Rosenberg, On complete submanifolds with parallel mean curvature in product spaces. Rev. Mat. Iberoam. 29 (2013), no. 4, pp. 1283–1306DOI 10.4171/RMI/757