The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space
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概要
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We introduce the notion of the lightcone Gauss–Kronecker curvature for a spacelike submanifold of codimension two in Minkowski space, which is a generalization of the ordinary notion of Gauss curvature of hypersurfaces in Euclidean space. In the local sense, this curvature describes the contact of such submanifolds with lightlike hyperplanes. We study geometric properties of such curvatures and show a Gauss–Bonnet type theorem. As examples we have hypersurfaces in hyperbolic space, spacelike hypersurfaces in the lightcone and spacelike hypersurfaces in de Sitter space.
論文 | ランダム
- 芽ぶき柳・淡墨・玉樟寸感
- 第三系・第四系境界問題の現状 (外国における第四紀研究と日本における研究)
- 古地磁気と第四紀研究 (古地磁気と第四紀研究)
- 茅ぶき柳・淡墨・玉樟寸感
- 「小説の方法」と「風俗小説論」