On generalized almost para-Hermitian spaces

Abstract

Very recently, generalized almost Hermitian spaces were defined in (Petrović, M.Z., Velimirović, L.S. Generalized Almost Hermitian Spaces and  olomorphically Projective Mappings. Mediterr. J. Math. 17, 74 (2020)). In the same manner we can study generalized 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\"ahler spaces are discussed. Finally, an example of a generalized para-K\"ahler space in Eisenhart's sense is given.