Results 61 to 70 of about 125 (89)

$T$-semisymmetric spaces and concircular vector fields [PDF]

open access: yes, 2001
Mikeš, Josef, Rachůnek, Lukáš
core  

D-CONFORMAL CHANGES IN RIEMANNIAN MANIFOLDS ADMITTING A CONCIRCULAR VECTOR FIELD

open access: yesD-CONFORMAL CHANGES IN RIEMANNIAN MANIFOLDS ADMITTING A CONCIRCULAR VECTOR FIELD
openaire  

An Example of a Concircular Vector Field on a Locally Conformally Kähler Manifold

Mathematical Notes, 2022
The 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
exaly   +2 more sources

Concircular vector fields on semi-Riemannian spaces

Journal of Mathematical Sciences, 2007
In 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
exaly   +2 more sources

On the concircular vector fields of spaces with affine connection

open access: yes, 2017
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
openaire   +2 more sources

On concircular and torse-forming vector fields on compact manifolds

open access: yes, 2010
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
openaire   +2 more sources

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