A NATURAL CONNECTION ON A BASIC CLASS OF RIEMANNIAN PRODUCT MANIFOLDS

DOI10.1142/S0219887812500570zbMath1255.53022arXiv1103.2916WikidataQ115245419 ScholiaQ115245419MaRDI QIDQ3144211

Dobrinka Gribacheva

Publication date: 7 December 2012

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.2916

zbMATH Keywords

Riemannian manifoldLie groupintegrable structurelinear connectionalmost product structure

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Lie algebras of Lie groups (22E60) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Connections (general theory) (53C05) Linear and affine connections (53B05)

Related Items (3)

Invariant tensors under the twin interchange of the pairs of the associated metrics on almost paracomplex pseudo-Riemannian manifolds ⋮ Spheres and circles in a tangent space of a 4-dimensional Riemannian manifold with respect to an indefinite metric ⋮ Conformal Riemannian \(P\)-manifolds with connections whose curvature tensors are Riemannian \(P\)-tensors

Cites Work

• On Riemannian almost product manifolds with nonintegrable structure
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Product structures on four dimensional solvable Lie algebras
• Un théorème sur les espaces homogènes complexes
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