Open AccessGeneralized φ(Ric)-vector fields in special pseudo-Riemannian spaces
Author(s) -
N. Vashpanova,
A. M. Savchenko,
Nataliia Vasylieva
Publication year - 2021
Publication title -
trudy meždunarodnogo geometričeskogo centra/pracì mìžnarodnogo geometričnogo centru
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 , field (mathematics) , metric (unit) , geometry , 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.