Invariant Affine Connections on Homogeneous Spaces

1954/01/01 by Katsumi Nomizu · 26 citations
Mathematics · #advanced mathematical theories

paper · doi:10.2307/2372398

Abstract

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Cited by

• Deformations and extensions of Lie–Yamaguti algebras
• On Kaluza-Klein theory
• Irreducible Lie–Yamaguti algebras
• Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras
• Submersion and homogeneous spray geometry
• Non-abelian extensions and Wells exact sequences of Lie-Yamaguti algebras
• The parallel transport map over reductive homogeneous space
• Hom-Lie-Yamaguti structures on Hom-Leibniz algebras
• The group of affine transformations of homogeneous spaces with discrete isotropy
• Vortex Filaments in Hermitian Reductive Lie Algebras
• Modules over quandle spaces and representations of Lie-Yamaguti algebras
• Compact, connected, complex manifolds that admit a compact transitive group of holomorphic automorphisms
• On Riemann wave superpositions obtained from the Euler system
• Yamaguti algebras and noncrossing partitions
• Twisted Rota-Baxter families on Lie-Yamaguti algebras and NS-Lie-Yamaguti family algebras
• Invariant f-structures in the generalized Hermitian geometry
• Reductive homogeneous spaces associated with real forms. A gauge-theoretical generalisation
• Associative-Yamaguti algebras
• Optimal Remainder Estimates in the Quantization of Complex Projective Spaces
• Remarks on the geometry of the extended Siegel--Jacobi upper half-plane
• A characterization of the alpha-connections on the statistical manifold of normal distributions
• Isoclinism in regular Hom-Lie Yamaguti algebras
• Conical Distributions on the Space of Flat Horocycles
• Sasakian structures on tangent sphere bundles of compact rank-one symmetric spaces
• The Ambrose-Singer Theorem for general homogeneous manifolds with applications to symplectic geometry
• Generalised killing spinors on three-dimensional Lie groups. [europepmc]

Related

• Projectively flat connections and flat connections on homogeneous spaces
• Integration of 1-forms and connections
• Homogeneous surfaces admitting invariant connections
• Associated Derived Invariants Of Geometric Mappings
• Reductive homogeneous spaces and nonassociative algebras