Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-11-20
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We consider hyperbolic rotation ( G 0 ), hyperbolic translation ( G 1 ), and horocyclic rotation ( G 2 ) groups in H 3 , which is called Minkowski model of hyperbolic space.
Then, we investigate extrinsic differential geometry of invariant surfaces under subgroups of G 0 in H 3 .
Also, we give explicit parametrization of these invariant surfaces with respect to constant hyperbolic curvature of profile curves.
Finally, we obtain some corollaries for flat and minimal invariant surfaces which are associated with de Sitter and hyperbolic shape operator in H 3 .
American Psychological Association (APA)
Mak, Mahmut& Karlığa, Baki. 2014. Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1039776
Modern Language Association (MLA)
Mak, Mahmut& Karlığa, Baki. Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-1039776
American Medical Association (AMA)
Mak, Mahmut& Karlığa, Baki. Invariant Surfaces under Hyperbolic Translations in Hyperbolic Space. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-1039776
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1039776