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On standard imbeddings of hyperbolic spaces in the Minkowski space
- Authors
- Kim, Dong-Soo; Kim, Young Ho; Yoon, Dae Won
- Issue Date
- Dec-2014
- Publisher
- ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
- Citation
- COMPTES RENDUS MATHEMATIQUE, v.352, no.12, pp 1033 - 1038
- Pages
- 6
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- COMPTES RENDUS MATHEMATIQUE
- Volume
- 352
- Number
- 12
- Start Page
- 1033
- End Page
- 1038
- ISSN
- 1631-073X
1778-3569
- Abstract
- We establish some characterizations of the standard imbeddings of hyperbolic spaces in the (n + 1)-dimensional Minkowski space Ln+1 with intrinsic and extrinsic properties such as the n-dimensional area of the sections cut off by hyperplanes, the (n + 1)-dimensional volume of regions between parallel hyperplanes, and the n-dimensional surface area of regions between parallel hyperplanes. In the same manner, we give an affirmatively partial answer to Question A suggested in [6], which is for the characterization of hyperspheres in the (n + 1)-dimensional Euclidean space En+1. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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