Transversally symmetric immersions
José Carmelo González-Dávila, M. C. González-Dávila, Lieven Vanhecke (1997)
Mathematica Bohemica
Similarity:
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.