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GAUSS' DIVERGENCE THEOREM ON BOUNDED DOMAINS IN MINKOWSKI SPACES WITH APPLICATIONS TO HYPERBOLIC SIMPLICES.
- Source :
-
International Journal of Geometry . Jan2024, Vol. 13 Issue 1, p92-105. 14p. - Publication Year :
- 2024
-
Abstract
- For bounded domains of Euclidean spaces with piecewise smooth boundary, the integral of outward unit normal vectors of the boundary is zero. In this paper we consider a similar theorem on Minkowski spaces (Minkowski spaces does not mean finite dimensional Banach spaces but finite dimensional vector spaces with pseudo-inner products). We also consider Gauss' divergence theorem on Minkowski spaces, which implies above. Remark that this theorem implies easily the equation to calculate a kind of centroids of hyperbolic simplices. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22479880
- Volume :
- 13
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- International Journal of Geometry
- Publication Type :
- Academic Journal
- Accession number :
- 174745743