An affine submersion with horizontal distribution and its applications

DOI10.1016/S0926-2245(01)00034-1zbMath0991.53005OpenAlexW2087257617WikidataQ115338321 ScholiaQ115338321MaRDI QIDQ5946126

Kazuyuki Hasegawa, Naoto Abe

Publication date: 29 August 2002

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

Full work available at URL: https://doi.org/10.1016/s0926-2245(01)00034-1

zbMATH Keywords

invariant connectionaffine submersionfundamental equationstatistical manifold

Mathematics Subject Classification ID

Connections (general theory) (53C05) Affine differential geometry (53A15)

Related Items (14)

Locally product-like statistical submersions ⋮ Statistical manifolds with almost quaternionic structures and quaternionic Kähler-like statistical submersions ⋮ B.-Y. Chen's Inequality for Kähler-like Statistical Submersions ⋮ Anti-invariant holomorphic statistical submersions ⋮ On cosymplectic-like statistical submersions ⋮ Chen inequalities for statistical submersions between statistical manifolds ⋮ Geometry of fibered graphs of mappings ⋮ Conformal submersion with horizontal distribution and geodesics ⋮ Martingales on principal fiber bundles ⋮ Lower Bounds on Statistical Submersions with vertical Casorati curvatures ⋮ A decomposition of a holomorphic vector bundle with connection and its applications to complex affine immersions ⋮ Almost product structures on statistical manifolds and para-Kähler-like statistical submersions ⋮ Affine and Conformal Submersions with Horizontal Distribution and Statistical Manifolds ⋮ Harmonicity of conformally-projectively equivalent statistical manifolds and conformal statistical submersions

Cites Work

• Unnamed Item
• Unnamed Item
• Exotic characteristic classes of certain \(\Gamma\)-foliations
• Affine submersions
• Differential geometry, profile likelihood, L-sufficiency and composite transformation models
• Cubic form theorem for affine immersions
• Geometry of certain first order differential operators and its applications to general connections
• Geometry of statistical manifolds
• Examples of Thomas-Whitehead projective connections
• The projective connections of T. Y. Thomas and J. H. C. Whitehead applied to invariant connections
• Differential-geometrical methods in statistics
• The fundamental equations of a submersion
• Submersions and geodesics
• Centroaffine immersions of codimension two and projective hypersurface theory
• Invariant Affine Connections on Homogeneous Spaces

This page was built for publication: An affine submersion with horizontal distribution and its applications