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Evolution of graphs in hyperbolic space by their Gauss curvature.
- Source :
-
Nonlinear Analysis . Apr2024, Vol. 241, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- In this paper, we consider the α -Gauss curvature flow for complete convex graphs over horosphere in the hyperbolic space. We show that for all positive power α > 0 , if the initial hypersurface is smooth, complete non-compact uniformly convex graph over R n and bounded by two horospheres, then the solution of the flow exists for all time. Moreover, the evolution of horospheres act as barriers along the flow. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GAUSSIAN curvature
*COMPLETE graphs
*HYPERBOLIC spaces
*CURVATURE
Subjects
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 241
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 175364312
- Full Text :
- https://doi.org/10.1016/j.na.2023.113477