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Transversally symmetric immersions

José Carmelo González-Dávila; M. C. González-Dávila; Lieven Vanhecke — 1997

Mathematica Bohemica

We introduce the notions of (extrinsic) locally transversally symmetric immersions and submanifolds in a Riemannian manifold equipped with a unit Killing vector field as analogues of those of (extrinsic) locally symmetric immersions and submanifolds. We treat their geometric properties, derive several characterizations and give a list of examples.

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