Transversally symmetric immersions

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

Mathematica Bohemica (1997)

  • Volume: 122, Issue: 3, page 273-294
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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González-Dávila, José Carmelo, González-Dávila, M. C., and Vanhecke, Lieven. "Transversally symmetric immersions." Mathematica Bohemica 122.3 (1997): 273-294. <http://eudml.org/doc/248148>.

@article{González1997,
abstract = {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.},
author = {González-Dávila, José Carmelo, González-Dávila, M. C., Vanhecke, Lieven},
journal = {Mathematica Bohemica},
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; reflections; isometric flows; transversally symmetric immersions; locally transversally symmetric submanifolds},
language = {eng},
number = {3},
pages = {273-294},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Transversally symmetric immersions},
url = {http://eudml.org/doc/248148},
volume = {122},
year = {1997},
}

TY - JOUR
AU - González-Dávila, José Carmelo
AU - González-Dávila, M. C.
AU - Vanhecke, Lieven
TI - Transversally symmetric immersions
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 3
SP - 273
EP - 294
AB - 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.
LA - eng
KW - 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; reflections; isometric flows; transversally symmetric immersions; locally transversally symmetric submanifolds
UR - http://eudml.org/doc/248148
ER -

References

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