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On the isometric minimal immersion into a euclidean space

✍ Scribed by Qing Chen

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1999
Tongue
English
Weight
277 KB
Volume
15
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