NATURAL CONNECTION WITH TOTALLY SKEW-SYMMETRIC TORSION ON RIEMANNIAN ALMOST PRODUCT MANIFOLDS

DOI10.1142/S021988781250003XzbMath1243.53045arXiv1001.4946OpenAlexW3104397486WikidataQ115245423 ScholiaQ115245423MaRDI QIDQ2893468

Mancho Manev, Dimitar Mekerov

Publication date: 20 June 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/1001.4946

zbMATH Keywords

Riemannian manifoldLie grouplinear connectionKilling metricparallel torsionalmost product structureKT-connectiontotally skew-symmetric torsionbismut connectionnon-integrable 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 (5)

Moduli spaces of oriented Type A manifolds of dimension at least 3 ⋮ Moduli spaces of type \(\mathcal B\) surfaces with torsion ⋮ Invariant tensors under the twin interchange of the pairs of the associated metrics on almost paracomplex pseudo-Riemannian manifolds ⋮ General natural \((\alpha ,\varepsilon )\)-structures ⋮ The Chern connection of a \((J^{2}=\pm1)\)-metric manifold of class \({\mathcal{G}}_{1}\)

Cites Work

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• A local index theorem for non-Kähler manifolds
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Un théorème sur les espaces homogènes complexes
• Vanishing theorems and string backgrounds

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