Geodesic
On generalized almost para-Hermitian spaces
Filomat, Tome 37 (2023) no. 25, p. 8719

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DOI

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 onM. 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¨ahler spaces are determined. Finally, a non-trivial example of generalized almost para-Hermitian space is constructed.
DOI : 10.2298/FIL2325719P
Classification : 53B05, 53B20, 53B35
Keywords: Non-symmetric metric, Generalized Riemannian space, Almost para-complex structure, Generalized almost para- Hermitian space, Generalized para-Kähler space 
Miloš Z Petrović. On generalized almost para-Hermitian spaces. Filomat, Tome 37 (2023) no. 25, p. 8719 . doi: 10.2298/FIL2325719P
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     author = {Milo\v{s} Z Petrovi\'c},
     title = {On generalized almost {para-Hermitian} spaces},
     journal = {Filomat},
     pages = {8719 },
     year = {2023},
     volume = {37},
     number = {25},
     doi = {10.2298/FIL2325719P},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2325719P/}
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