Reflexiones en variedades de Riemann

  1. González Dávila, José Carmelo
  2. González Dávila, M. C.
Journal:
Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum

ISSN: 1130-4723

Year of publication: 1990

Volume: 1

Issue: 1

Pages: 251-260

Type: Article

More publications in: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum

Abstract

Symmetries with respect to points on a Riemannian manifold are well-known generalization of reflections with respect to points in Euclidean space. Besides- symmetries with respect to points one can also consider reflections with respect to curves and, more generally, reflections with respect to arbitrary submanifolds of a Riemannian manifold. The purpose of this paper is to give a brief survey of the theory of reflections with respect to integral curves of a given Killing vector field.