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Original scientific paper

https://doi.org/10.3336/gm.47.1.16

The special hypersurfaces of Minkowski space

Jintang Li ; School of Mathematical Sciences, Xiamen University, 361005 Xiamen, Fujian, China


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Abstract

Let x:(Mn,F) (Vn+1, F̄) be a simply connected hypersurface in a Minkowski space (Vn+1, F̄). In this paper, using the Gauss formula of Chern connection on Finsler submanifolds, we shall prove that if x(p) is normal to Tp(M) (∀ p M), then M with the induced metric is isometric to the standard Euclidean sphere.

Keywords

Finsler manifolds, Gauss formula, Minkowski space

Hrčak ID:

82582

URI

https://hrcak.srce.hr/82582

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