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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
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 wi…
A connection with parallel totally skew-symmetric torsion on a class of almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics
Mancho Manev, Kostadin Gribachev
The subject of investigations are the almost hypercomplex manifolds with Hermitian and anti-Hermitian (Norden) metrics. A linear connection D is introduced such that the structure…
Natural Connection with Totally Skew-Symmetric Torsion on Riemannian Almost Product Manifolds
Dimitar Mekerov, Mancho Manev
On a Riemannian almost product manifold we consider a linear connection preserving the almost product structure and the Riemannian metric and having a totally ske…
Natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric
Mancho Manev
A natural connection with totally skew-symmetric torsion on almost contact manifolds with B-metric is constructed. The class of these manifolds, where the considered connection exi…