Authors: Qun Chen Cai Rong Xiang
Publish Date: 2010/11/15
Volume: 26, Issue: 12, Pages: 2269-2282
Abstract
This paper concerns the submanifold geometry in the ambient space of warped product manifolds F n × σ ℝ this is a large family of manifolds including the usual space forms ℝ m mathbbSm and ℝ m We give the fundamental theorem for isometric immersions of hypersurfaces into warped product space ℝ n × σ ℝ which extends this kind of results from the space forms and several spaces recently considered by Daniel to the cases of infinitely many ambient spaces
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