Electronic Resource
Springer
Czechoslovak mathematical journal
49 (1999), S. 491-506
ISSN:
1572-9141
Keywords:
reflections
;
(locally) symmetric immersions
;
extrinsic (locally) symmetric sub-manifolds
;
parallel immersions
;
(locally) symmetric spaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We use reflections with respect to submanifolds and related geometric results to develop, inspired by the work of Ferus and other authors, in a unified way a local theory of extrinsic symmetric immersions and submanifolds in a general analytic Riemannian manifold and in locally symmetric spaces. In particular we treat the case of real and complex space forms and study additional relations with holomorphic and symplectic reflections when the ambient space is almost Hermitian. The global case is also taken into consideration and several examples are given.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1022463117401
Permalink
|
Location |
Call Number |
Expected |
Availability |
