Conformal-Projective Geometry of Statistical Manifolds
スポンサーリンク
概要
- 論文の詳細を見る
Conformal-projective geometry of statistical manifolds, a natural generalization of conformal geometry of Riemannian manifolds, is studied in this paper. In particular, several fundamental results in the geometry are given: a geometric criterion for two statistical manifolds to be conformally-projectively equivalent; conditions for a statistical manifold to be conformally-projectively flat; properties of umbilical hypersurfaces of a conformally-projectively flat statistical manifold.
- 東北大学の論文
著者
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Kurose Takashi
Department of Polymer Science and Engineering, Yamagata University
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Kurose Takashi
Department Of Applied Mathemetics Fukuoka University
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Kurose Takashi
Department Of Applied Mathematics Fukuoka University
関連論文
- Uniaxial Elongational Viscosity of FEP/ a Small Amount of PTFE Blends
- Conformal-Projective Geometry of Statistical Manifolds
- On the divergences of 1-conformally flat statistical manifolds
- Uniaxial Elongational Viscosity of FEP/a Small Amount of PTFE Blends
- Two results in the affine hypersurface theory
- Geometry of the Space of Closed Curves in the Complex Hyperbola