Induced structures on submanifolds in almost product Riemannian manifolds

Details Induced structures on submanifolds in almost product Riemannian manifolds Induced structures on submanifolds in almost product Riemannian manifolds

2006-08-22

arxiv.org/abs/math/0608533v1

Mathematics

Differential Geometry

60 pages, Corrected typos

Scientific paper

We give some fundamental properties of the induced structures on submanifolds immersed in almost product or locally product Riemannian manifolds. We study the induced structure by the composition of two isometric immersions on submanifolds in an almost product Riemannian manifold. We give an effective construction for some induced structures on submanifolds of codimension 1 or 2 in Euclidean space.

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