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Isometric immersions into warped product spaces

✍ Scribed by Qun Chen; Cai Rong Xiang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
258 KB
Volume
26
Category
Article
ISSN
1439-7617

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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 m