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Compact locally Hessian manifolds

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Publication:600120
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zbMath0415.53032MaRDI QIDQ600120

Hirohiko Shima

Publication date: 1978

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

Riemannian metricsymmetric formsHessian structureflat linear connection


Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Connections (general theory) (53C05) Other connections (53B15)


Related Items (9)

Nonparametric information geometry: from divergence function to referential-representational biduality on statistical manifolds ⋮ On the locally flat Finsler manifolds ⋮ Geometry of Hessian manifolds ⋮ Homogeneous Hessian manifolds ⋮ Conelike radiant structures ⋮ Dual connections and affine geometry ⋮ Geometry of statistical manifolds ⋮ A Schwarz lemma for Kähler affine metrics and the canonical potential of a proper convex cone ⋮ Vanishing theorems for compact Hessian manifolds




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