Displaying similar documents to “On F 2 ε -planar mappings of (pseudo-) Riemannian manifolds”

Holomorphically projective mappings of compact semisymmetric manifolds

Raad J. K. al Lami (2010)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper we consider holomorphically projective mappings from the compact semisymmetric spaces A n onto (pseudo-) Kählerian spaces K ¯ n . We proved that in this case space A n is holomorphically projective flat and K ¯ n is space with constant holomorphic curvature. These results are the generalization of results by T. Sakaguchi, J. Mikeš, V. V. Domashev, N. S. Sinyukov, E. N. Sinyukova, M. Škodová, which were done for holomorphically projective mappings of symmetric, recurrent and semisymmetric...

Metric of special 2F-flat Riemannian spaces

Raad J. K. al Lami (2005)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper we find the metric in an explicit shape of special 2 F -flat Riemannian spaces V n , i.e. spaces, which are 2 F -planar mapped on flat spaces. In this case it is supposed, that F is the cubic structure: F 3 = I .

On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds

Irena Hinterleitner, Josef Mikeš (2013)

Archivum Mathematicum

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In this paper we study fundamental equations of holomorphically projective mappings from manifolds with equiaffine connection onto (pseudo-) Kähler manifolds with respect to the smoothness class of connection and metrics. We show that holomorphically projective mappings preserve the smoothness class of connections and metrics.

On holomorphically projective mappings onto Kählerian spaces

Mikeš, Josef, Pokorná, Olga

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The main result of this paper determines a system of linear partial differential equations of Cauchy type whose solutions correspond exactly to holomorphically projective mappings of a given equiaffine space onto a Kählerian space. The special case of constant holomorphic curvature is also studied.

Conformally geodesic mappings satisfying a certain initial condition

Hana Chudá, Josef Mikeš (2011)

Archivum Mathematicum

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In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds ( M , g ) and ( M ¯ , g ¯ ) , i.e. mappings f : M → M ¯ satisfying f = f 1 ∘ f 2 ∘ f 3 , where f 1 , f 3 are conformal mappings and f 2 is a geodesic mapping. Suppose that the initial condition f * g ¯ = k g is satisfied at a point x 0 ∈ M and that at this point the conformal Weyl tensor does not vanish. We prove that then f is necessarily conformal.