On the Geometry of Connections with Totally Skew-Symmetric Torsion on Manifolds with Additional Tensor Structures and Indefinite Metrics

Mancho Manev; Dimitar Mekerov; Kostadin Gribachev

doi:10.1016/j.difgeo.2011.04.019

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arXiv · 1010.5398

On the Geometry of Connections with Totally Skew-Symmetric Torsion on Manifolds with Additional Tensor Structures and Indefinite Metrics

Mancho Manev·Dimitar Mekerov·Kostadin Gribachev

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Abstract

This paper is a survey of results obtained by the authors on the geometry of connections with totally skew-symmetric torsion on the following manifolds: almost complex manifolds with Norden metric, almost contact manifolds with B-metric and almost hypercomplex manifolds with Hermitian and anti-Hermitian metric.

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Mancho Manev, Dimitar Mekerov, Kostadin Gribachev. 2010-10-26. On the Geometry of Connections with Totally Skew-Symmetric Torsion on Manifolds with Additional Tensor Structures and Indefinite Metrics. https://doi.org/10.1016/j.difgeo.2011.04.019

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