Affiliation:
1. University of Niš, Faculty of Agriculture in Kruševac, Kruševac
Abstract
Recently, a generalized almost Hermitian metric on an almost complex manifold
(M, J) is determined as a generalized Riemannian metric (i.e. an arbitrary
bilinear form) G which satisfies G(JX, JY) = G(X,Y), where X and Y are
arbitrary vector fields on M. In the same manner we can study a generalized
almost para-Hermitian metric and determine almost para-Hermitian spaces.
Some properties of these spaces and special generalized almost
para-Hermitian spaces including generalized para-Hermitian spaces as well as
generalized nearly para-K?hler spaces are determined. Finally, a
non-trivial example of generalized almost para-Hermitian space is
constructed.
Funder
Ministry of Education, Science and Technological Development of the Republic of Serbia
Publisher
National Library of Serbia
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