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Some applications of a Simons' type formula for complete spacelike submanifolds in a semi-Riemannian space form |
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| Authors: | Rosa M.B. Chaves L.A.M. Sousa Jr. |
| Affiliation: | a Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão, 1010, São Paulo, SP, Brazil, CEP 05508-090 b Departamento de Matemática e Estatística, Universidade Federal do Estado do Rio de Janeiro, Avenida Pasteur, 458, Urca, Rio de Janeiro, RJ, Brazil, CEP 22290-240 |
| Abstract: | In this work we obtain a Simons' type inequality for a suitable tensor and apply it in order to obtain some results characterizing umbilical submanifolds and a product of submanifolds in a semi-Riemannian space form. |
| Keywords: | primary 53C42 53A10 |
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