Mendes, Ricardo A. E. and Radeschi, Marco ORCID: 0000-0001-6167-7136 (2019). Virtual immersions and a characterization of symmetric spaces. Ann. Glob. Anal. Geom., 55 (1). S. 43 - 54. DORDRECHT: SPRINGER. ISSN 1572-9060
Full text not available from this repository.Abstract
We define virtual immersions, as a generalization of isometric immersions in a pseudo-Riemannian vector space. We show that virtual immersions possess a second fundamental form, which is in general not symmetric. We prove that a manifold admits a virtual immersion with skew-symmetric second fundamental form, if and only if it is a symmetric space, and in this case the virtual immersion is essentially unique.
Item Type: | Journal Article | ||||||||||||
Creators: |
|
||||||||||||
URN: | urn:nbn:de:hbz:38-157482 | ||||||||||||
DOI: | 10.1007/s10455-018-9617-1 | ||||||||||||
Journal or Publication Title: | Ann. Glob. Anal. Geom. | ||||||||||||
Volume: | 55 | ||||||||||||
Number: | 1 | ||||||||||||
Page Range: | S. 43 - 54 | ||||||||||||
Date: | 2019 | ||||||||||||
Publisher: | SPRINGER | ||||||||||||
Place of Publication: | DORDRECHT | ||||||||||||
ISSN: | 1572-9060 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
|
||||||||||||
Refereed: | Yes | ||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/15748 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |