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A discrete form of the Beckman-Quarles Theorem for rational spaces

✍ Scribed by Joseph Zaks


Publisher
Springer
Year
2001
Tongue
English
Weight
91 KB
Volume
72
Category
Article
ISSN
0047-2468

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A Bonnet theorem for isometric immersion
✍ J. H. Lira; R. Tojeiro; F. VitΓ³rio πŸ“‚ Article πŸ“… 2010 πŸ› Springer 🌐 English βš– 198 KB

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