EAP - Proceedings of the Estonian Academy of Sciences

PUBLISHED
SINCE 1952

proceedings
of the estonian academy of sciences

ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)

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Some properties of biconcircular gradient vector fields; pp. 162–169

PDF | doi: 10.3176/proc.2009.3.03

Author

Adela Mihai

Abstract

We consider a Riemannian manifold carrying a biconcircular gradient vector field X, having as generative a closed torse forming U. The existence of such an X is determined by an exterior differential system in involution depending on two arbitrary functions of one argument. The Riemannian manifold is foliated by Einstein surfaces tangent to X and U. Properties of the biconcircular vector field X are investigated.

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doi:10.3792/pia/1195572958

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