NATURAL CONNECTION WITH TOTALLY SKEW-SYMMETRIC TORSION ON ALMOST CONTACT MANIFOLDS WITH B-METRIC

DOI10.1142/S0219887812500442zbMath1261.53025arXiv1001.3800MaRDI QIDQ2920431

Mancho Manev

Publication date: 16 October 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/1001.3800

zbMATH Keywords

natural connectionparallel structurealmost contact manifoldKT-connection\(B\)-metrictotally skew-symmetric torsion

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Connections (general theory) (53C05)

Related Items (12)

Sasaki-like almost contact complex Riemannian manifolds ⋮ The moduli space of type \(\mathcal{A}\) surfaces with torsion and non-singular symmetric Ricci tensor ⋮ Almost contact B-metric structures and the Bianchi classification of the three-dimensional Lie algebras ⋮ Moduli spaces of type \(\mathcal B\) surfaces with torsion ⋮ A classification of the torsion tensors on almost contact manifolds with B-metric ⋮ Canonical-type connection on almost contact manifolds with B-metric ⋮ On the geometry of connections with totally skew-symmetric torsion on manifolds with additional tensor structures and indefinite metrics ⋮ \(\mathcal{D}\)-homothetic deformation on almost contact \(B\)-metric manifolds ⋮ Almost contact B-metric manifolds as extensions of a 2-dimensional space-form ⋮ Geometric characteristics and properties of a three-parametric family of Lie groups with almost contact B-metric structure of the smallest dimension ⋮ The components of the structure tensor of five-dimensional almost contact B-metric manifolds ⋮ Lie groups as 3-dimensional almost contact B-metric manifolds

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• A CONNECTION WITH PARALLEL TOTALLY SKEW-SYMMETRIC TORSION ON A CLASS OF ALMOST HYPERCOMPLEX MANIFOLDS WITH HERMITIAN AND ANTI-HERMITIAN METRICS

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