Almost product structures on statistical manifolds and para-Kähler-like statistical submersions
From MaRDI portal
Publication:2046106
DOI10.1016/j.bulsci.2021.103018zbMath1477.53026arXiv1904.09411OpenAlexW3174449920MaRDI QIDQ2046106
Publication date: 17 August 2021
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.09411
affine connectionstatistical manifoldconjugate connectionalmost product structurestatistical submersion
Geometric probability and stochastic geometry (60D05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Statistical aspects of information-theoretic topics (62B10) Linear and affine connections (53B05) Differential geometric aspects of statistical manifolds and information geometry (53B12)
Related Items
Locally product-like statistical submersions ⋮ Some results on Kenmotsu statistical manifolds ⋮ Proper Semi-Slant Pseudo-Riemannian Submersions in Para-Kaehler Geometry ⋮ B.-Y. Chen's Inequality for Kähler-like Statistical Submersions ⋮ Anti-invariant holomorphic statistical submersions ⋮ Lower Bounds on Statistical Submersions with vertical Casorati curvatures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Holomorphically projective mappings between generalized hyperbolic Kähler spaces
- Transformations and coupling relations for affine connections
- Lagrangian \(H\)-umbilical submanifolds of para-Kähler manifolds
- Hamiltonian stability of Hamiltonian minimal Lagrangian submanifolds in pseudo- and para-Kähler manifolds
- Interaction of Codazzi couplings with (para-)Kähler geometry
- Statistical manifolds with almost contact structures and its statistical submersions
- A note on curvature of \(\alpha\)-connections of a statistical manifold
- Bochner's technique for statistical structures
- Dual connections and affine geometry
- Fundamental equations for statistical submanifolds with applications to the Bartlett correction
- Spaces of constant para-holomorphic sectional curvature
- Geometry of statistical manifolds
- Generalized normalized \(\delta\)-Casorati curvature for statistical submanifolds in quaternion Kaehler-like statistical space forms
- A survey on paracomplex geometry
- A study of Wintgen like inequality for submanifolds in statistical warped product manifolds
- \(tt^*\)-bundles in para-complex geometry, special para-Kähler manifolds and para-pluriharmonic maps
- The fundamental equations of a submersion
- Sasakian statistical manifolds
- Para-Kähler–Einstein structures on Walker 4-manifolds
- Curvatures of Statistical Structures
- Submanifold Theory in Holomorphic Statistical Manifolds
- MECHANICAL SYSTEMS ON ALMOST PARA/PSEUDO-KÄHLER–WEYL MANIFOLDS
- SYMPLECTIC STRUCTURES ON STATISTICAL MANIFOLDS
- On the Geometry of the Tangent Bundle.
- Homogeneous para-Kähler Einstein manifolds
- Differential Geometry of Warped Product Manifolds and Submanifolds
- ON PARALLEL FIELDS OF PLANES IN A RIEMANNIAN SPACE
- An affine submersion with horizontal distribution and its applications
