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Matematicheskie Zametki, 2010, Volume 87, Issue 2, Pages 267–279
DOI: https://doi.org/10.4213/mzm6316 (Mi mzm6316) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Pseudo-Killing and Pseudoharmonic Vector Fields on a Riemann–Cartan Manifold

S. E. Stepanova, I. A. Gordeevab

a Finance Academy under the Government of the Russian Federation
b Vladimir State University
Full-text PDF (510 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm6316
Abstract: Six classes of Riemann–Cartan manifolds are distinguished in an invariant way. Geometric characteristics of some of the distinguished classes of Riemann–Cartan manifolds are found, and also conditions hindering the existence, are determined. The local geometry of Riemann–Cartan manifolds carrying pseudo-Killing and pseudoharmonic vector fields is studied. Conditions hindering the existence “in the large” of pseudo-Killing and pseudoharmonic vector fields on Riemann–Cartan manifolds are obtained.
Keywords: Riemann–Cartan manifold, pseudo-Killing vector field, pseudoharmonic vector field, umbilical manifold, Ricci tensor, adjoint connection.
Received: 11.09.2008
Revised: 11.06.2009
English version:
Mathematical Notes, 2010, Volume 87, Issue 2, Pages 248–257
DOI: https://doi.org/10.1134/S0001434610010311
Bibliographic databases:
UDC: 514.764.22+514.764.32
Language: Russian
Citation: S. E. Stepanov, I. A. Gordeeva, “Pseudo-Killing and Pseudoharmonic Vector Fields on a Riemann–Cartan Manifold”, Mat. Zametki, 87:2 (2010), 267–279; Math. Notes, 87:2 (2010), 248–257
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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