Some relations in the generalized Kählerian spaces of the second kind | Zendy

Mića S. Stanković | Zendy; Ljubica S. Velimirović | Zendy; Milan Lj. Zlatanović | Zendy

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Some relations in the generalized Kählerian spaces of the second kind

Author(s) -

Mića S. Stanković,

Ljubica S. Velimirović,

Milan Lj. Zlatanović

Publication year - 2009

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil0902082s

Subject(s) - mathematics , covariant derivative , pure mathematics , covariant transformation , space (punctuation) , constant (computer programming) , riemann curvature tensor , tensor (intrinsic definition) , constant curvature , curvature , mathematical analysis , mathematical physics , geometry , philosophy , linguistics , computer science , programming language

Starting from the definition of generalized Riemannian space (GRN) (1), in which a non-symmetric basic tensor gij is introduced, in the present paper a generalized Kahlerian space GK 2 N of the second kind is defined, as a GRN with almost complex structure F h i , that is covariantly constant with respect to the second kind of covariant derivative (equation (2.3)). Several theorems are proved. These theorems are generalizations of the corresponding theorems relating to KN. The relations between F h i and four curvature tensors from GRN are obtained.

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