A Connection with Parallel Torsion on Almost Hypercomplex Manifolds with Norden Metric
نویسنده
چکیده
Almost hypercomplex manifolds with Norden metric are considered. A linear connection D is introduced such that the structure of these manifolds is parallel with respect to D. Of special interest is the class of the locally conformally equivalent manifolds to the hyper-Kähler manifolds with Norden metric and the case when the torsion of D is D-parallel. Curvature properties of these manifolds are studied. An example of 4-dimensional manifolds in the considered basic class is constructed and characterized.
منابع مشابه
A connection with parallel torsion on almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics
Almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics are considered. A linear connection D is introduced such that the structure of these manifolds is parallel with respect to D. Of special interest is the class of the locally conformally equivalent manifolds to the hyper-Kähler manifolds of the investigated type and the case when the torsion of D is D-parallel. Curvature pro...
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