Existence of isometric immersions into nilpotent Lie groups
classification
🧮 math.DG
keywords
immersionsexistencegroupsisometricnilpotentcasecomprisesconditions
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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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