Results 61 to 70 of about 125 (89)
ON SOME SURFACES IMMERSED IN A MANIFOLD ADMITTING A SPECIAL CONCIRCULAR VECTOR FIELD
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$T$-semisymmetric spaces and concircular vector fields [PDF]
Mikeš, Josef, Rachůnek, Lukáš
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ON SOME RIEMANNIAN MANIFOLDS ADMITTING A CONORCULAR VECTOR FIELD
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$K$-concircular vector fields and holomorphically projective mappings on Kählerian spaces [PDF]
Starko, G. A., Mikeš, J.
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D-CONFORMAL CHANGES IN RIEMANNIAN MANIFOLDS ADMITTING A CONCIRCULAR VECTOR FIELD
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An Example of a Concircular Vector Field on a Locally Conformally Kähler Manifold
Mathematical Notes, 2022The authors prove that the Lie vector of a locally conformally Kähler (LCK) manifold of constant curvature is a concircular vector field. They also consider locally conformally nearly Kähler manifolds and their subclass of LCK manifolds of constant curvature. They obtain conditions under which an LCK manifold of constant curvature is recurrent.
V F Kirichenko, Kirichenko V F
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Concircular vector fields on semi-Riemannian spaces
Journal of Mathematical Sciences, 2007In this paper, we construct an analogue of concircular fields for semi-Riemannian spaces (i.e., for manifolds with degenerate metrics). We find a tensor criterion of spaces admitting the maximal number of concircular fields or having no such fields. We detect a gap in the distribution of dimensions of the space of concircular fields, which, in contrast
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On the concircular vector fields of spaces with affine connection
Summary: In this paper we study concircular vector fields of spaces with affine connection. We found the fundamental equation of these fields for the minimal requirements on the differentiability of the connection. The maximal numbers of linearly independent fields (with constant coefficients) is equal to \(n + 1\) and is realized only on projective at
Hinterleitner, Irena +3 more
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On concircular and torse-forming vector fields on compact manifolds
Summary: In this paper we modify the theorem by E. Hopf and found results and conditions, on which concircular, convergent and torse-forming vector fields exist on (pseudo-) Riemannian spaces. These results are applied for conformal, geodesic and holomorphically projective mappings of special compact spaces without boundary.
Mikes, Josef, Chodorová, Marie
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