Hessian manifolds of nonpositive constant Hessian sectional curvature

DOI10.2748/tmj/1365452623zbMath1277.53010OpenAlexW2049806059MaRDI QIDQ1949977

Takashi Kurose, Hitoshi Furuhata

Publication date: 22 May 2013

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1365452623

zbMATH Keywords

constant curvatureHessian manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Connections (general theory) (53C05) Affine differential geometry (53A15)

Related Items (5)

Hessian geometry on Lagrange spaces ⋮ Statistical hypersurfaces in the space of Hessian curvature zero ⋮ Statistical submanifolds from a viewpoint of the Euler inequality ⋮ LOCAL EXISTENCE OF STATISTICAL DIFFEOMORPHISMS ⋮ One-dimensional exponential families with constant Hessian sectional curvature

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