Almost complex connections on almost complex manifolds with Norden metric

Autor: Teofilova, Marta
Rok vydání: 2011
Předmět:
Zdroj: Differential Geometry, Complex Analysis and Mathematical Physics, Proc. of The 9th International Workshop on Complex Structures, Integrability & Vector Fields, 231-240, 2009
Druh dokumentu: Working Paper
Popis: A four-parametric family of linear connections preserving the almost complex structure is defined on an almost complex manifold with Norden metric. Necessary and sufficient conditions for these connections to be natural are obtained. A two-parametric family of complex connections is studied on a conformal K\"{a}hler manifold with Norden metric. The curvature tensors of these connections are proved to coincide.
Databáze: arXiv