Geodesic
Transversally symmetric immersions
Mathematica Bohemica, Tome 122 (1997) no. 3, pp. 273-294

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MR Zbl
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.
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.
DOI : 10.21136/MB.1997.126147
Classification : 53B25, 53C25, 53C30, 53C40, 53C42
Keywords: reflections; isometric flows; transversally symmetric immersions; locally transversally symmetric submanifolds; (locally) symmetric and transversally symmetric immersions and submanifolds; Killing-transversally symmetric spaces; normal flow space forms 
González-Dávila, J. C.; González-Dávila, M. C.; Vanhecke, L. Transversally symmetric immersions. Mathematica Bohemica, Tome 122 (1997) no. 3, pp. 273-294. doi: 10.21136/MB.1997.126147
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