Existence of isometric immersions into nilpotent Lie groups

Details Existence of isometric immersions into nilpotent Lie groups Existence of isometric immersions into nilpotent Lie groups

2008-10-18

arxiv.org/abs/0810.3307v1

Mathematics

Differential Geometry

Scientific paper

We establish necessary and sufficient conditions for existence of isometric
immersions of a simply connected Riemannian manifold into a two-step nilpotent
Lie group. This comprises the case of immersions into $H$-type groups.

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