Generalized φ(Ric)-vector fields in special pseudo-Riemannian spaces | Zendy

N. Vashpanova | Zendy; A. Savchenko | Zendy; Nataliia Vasylieva | Zendy

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Generalized φ(Ric)-vector fields in special pseudo-Riemannian spaces

Author(s) -

N. Vashpanova,

A. Savchenko,

Nataliia Vasylieva

Publication year - 2021

Publication title -

proceedings of the international geometry center

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.124

H-Index - 2

eISSN - 2409-8906

pISSN - 2072-9812

DOI - 10.15673/tmgc.v14i4.2155

Subject(s) - vector field , mathematics , sign (mathematics) , pure mathematics , equidistant , tensor (intrinsic definition) , vector space , mathematical analysis , metric (unit) , field (mathematics) , tensor field , geometry , exact solutions in general relativity , operations management , economics

The paper treats pseudo-Riemannian spaces permitting generalized φ(Ric)-vector fields. We study conditions for the existence of such vector fields in conformally flat, equidistant, reducible and Kählerian pseudo-Riemannian spaces. The obtained results can be applied for the construction of generalized φ(Ric)-vector fields that differ from φ(Ric)-vector fields. The research is carried out locally without limitations imposed on a sign of metric tensor.

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