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1. A connection with parallel torsion on almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics

Author

Manev, Mancho

Subjects
*RIEMANNIAN manifolds, *HERMITIAN structures, *METRIC spaces, *TORSION, *CONFORMAL mapping, *MATHEMATICAL constants
Abstract

Abstract: Almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics are considered. A linear connection is introduced such that the structure of these manifolds is parallel with respect to . Of special interest is the class of the locally conformally equivalent manifolds of the manifolds with covariantly constant almost complex structures and the case when the torsion of is -parallel. Curvature properties of these manifolds are studied. An example of 4-dimensional manifolds in the considered basic class is constructed and characterized. [ABSTRACT FROM AUTHOR]

Published
2011
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