Isometric immersions into products of many space forms: an introductory study
Abstract
This article begins the theory of submanifolds into products of 2 or more space forms. The tensors R, S and T defined by Lira, Tojeiro and Vit\'orio at LTV and the Bonnet theorem proved by them are generalized for the product of many space forms. Besides, some examples given by Mendonca and Tojeiro at MT and the reduction of codimension theorem proved by them are also generalized.
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