Other Classes of Tangent Bundles with General Natural Almost Anti-Hermitian Structures

Abstract

We continue the study of the anti-Hermitian structures of general natural lift type on the tangent bundles. We get the conditions under which these structures are in the eight classes obtained by Ganchev and Borisov. We complete the characterization of the general natural anti-Kahlerian structures on the tangent bundles with necessary and sufficient conditions, then we present some results concerning the remaining classes.

arXiv comment15 pages, presented at the conference Differential Geometry-Dynamical Systems, Oct. 8-11, 2009,Univ. Politehnica Bucuresti, Romania