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

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.

13 pages, International Conference "Differential Geometry and its Applications - DGA 2010", Brno, Czech Republic, August 27-31, 2010

References in corpus (2)

• A connection with parallel totally skew-symmetric torsion on a class of almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics
• Almost hypercomplex pseudo-Hermitian manifolds and a 4-dimensional Lie group with such structure