The Sasakian statistical structures of constant \(\phi\)-sectional curvature on Sasakian space forms

DOI10.1016/J.DIFGEO.2024.102190MaRDI QIDQ6654677

Liang Zhang, Xinlei Wu, Yanyan Sheng

Publication date: 20 December 2024

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

zbMATH Keywords

Sasakian space formsSasakian statistical manifoldsconstant \(\phi\)-sectional curvature

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost contact and almost symplectic manifolds (53D15) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

• Title not available (Why is that?)
• Hypersurfaces in statistical manifolds
• CR submanifolds of Kaehlerian and Sasakian manifolds
• Geometry of Hessian manifolds
• Kenmotsu statistical manifolds and warped product
• On contact metric statistical manifolds
• Magnetic Jacobi fields in 3-dimensional Sasakian space forms
• Casorati curvatures of submanifolds in cosymplectic statistical space forms
• Differential-geometrical methods in statistics
• Sasakian statistical manifolds
• Submanifold Theory in Holomorphic Statistical Manifolds
• Parabolic Geodesics in Sasakian 3-Manifolds
• Some results on Kenmotsu statistical manifolds
• On almost contact manifolds admitting axiom of planes or axiom of free mobility
• Riemannian geometry of contact and symplectic manifolds
• The cosymplectic statistical structures of constant \(\phi\)-sectional curvature on cosymplectic space forms
• The holomorphic statistical structures of constant holomorphic sectional curvature on complex space forms

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