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A Bonnet theorem for isometric immersions into products of space forms |
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| Authors: | J. H. Lira R. Tojeiro F. Vitório |
| Affiliation: | 1. Universidade Federal do Ceará, Campus do Pici, Fortaleza, CE, 60455-760, Brazil 2. Universidade Federal de S?o Carlos, Via Washington Luiz km 235, S?o Carlos, SP, 13565-905, Brazil 3. CEFET - Alagoas, Rua Lorival Alfredo 176, Marechal Deodoro, Al, 57160-000, Brazil |
| Abstract: | We prove a Bonnet theorem for isometric immersions of semi-Riemannian manifolds into products of semi-Riemannian space forms. Namely, we give necessary and sufficient conditions for the existence and uniqueness (up to an isometry of the ambient space) of an isometric immersion of a semi-Riemannian manifold into a product of semi-Riemannian space forms. |
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