Geometry of statistical manifolds

DOI10.1016/0926-2245(92)90011-BzbMath0763.53049WikidataQ115362761 ScholiaQ115362761MaRDI QIDQ1203472

Mitsunori Noguchi

Publication date: 10 February 1993

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

dual connections\(\nabla\)-isotropic points

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Statistical aspects of information-theoretic topics (62B10) Affine differential geometry (53A15)

Related Items (15)

Locally product-like statistical submersions ⋮ Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions ⋮ Conformal implementation of the projective equivalence over statistical manifolds ⋮ A note on harmonic maps of statistical manifolds ⋮ Completeness in affine and statistical geometry ⋮ Curvature bounded conjugate symmetric statistical structures with complete metric ⋮ Anti-invariant holomorphic statistical submersions ⋮ Statistical structures arising in null submanifolds ⋮ Generalized geometry of Norden manifolds ⋮ An introduction to gradient solitons on statistical Poisson manifold and perfect fluid Poisson manifold ⋮ Conformal submersion with horizontal distribution and geodesics ⋮ Unnamed Item ⋮ Generalized quasi-statistical structures ⋮ An affine submersion with horizontal distribution and its applications ⋮ Almost product structures on statistical manifolds and para-Kähler-like statistical submersions

Cites Work

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• Compact locally Hessian manifolds
• Dual connections and affine geometry
• Differential-geometrical methods in statistics
• Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
• Differential equations on riemannian manifolds and their geometric applications

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