A Bonnet theorem for isometric immersions into products of space forms

✍ Scribed by J. H. Lira; R. Tojeiro; F. Vitório

• Publisher: Springer
• Year: 2010
• Tongue: English
• Weight: 198 KB
• Volume: 95
• Category: Article
• ISSN: 0003-889X
• DOI: 10.1007/s00013-010-0183-4

✦ Synopsis

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.