ESTONIAN ACADEMY
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eesti teaduste
akadeemia kirjastus
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SINCE 1952
 
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proceedings
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
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Some properties of biconcircular gradient vector fields; pp. 162–169

Full article in PDF format | 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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