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Lukáš Rachůnek, Josef Mikeš (2005)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The paper deals with tensor fields which are semiconjugated with torse-forming vector fields. The existence results for semitorse-forming vector fields and for convergent vector fields are proved.
N. Bokan (1973)
Matematički Vesnik
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Konopka, Czesław (1993)
Publications de l'Institut Mathématique. Nouvelle Série
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Irena Hinterleitner, Volodymyr A. Kiosak (2008)
Archivum Mathematicum
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In this paper we study vector fields in Riemannian spaces, which satisfy , , We investigate the properties of these fields and the conditions of their coexistence with concircular vector fields. It is shown that in Riemannian spaces, noncollinear concircular and -vector fields cannot exist simultaneously. It was found that Riemannian spaces with -vector fields of constant length have constant scalar curvature. The conditions for the existence of -vector fields in symmetric spaces...