On holomorphically projective mappings from equiaffine symmetric and recurrent spaces onto Kählerian spaces
Škodová, Marie, Mikeš, Josef, Pokorná, Olga
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Displaying similar documents to “On equitorsion geodesic mappings of general affine connection spaces”
On holomorphically projective mappings from equiaffine symmetric and recurrent spaces onto Kählerian spaces
Equitorsion geodesic mappings of generalized Riemannian spaces.
Minčić, Svetislav M., Stanković, Mića S. (1997)
Publications de l'Institut Mathématique. Nouvelle Série
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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 onto (pseudo-) Kählerian spaces . We proved that in this case space is holomorphically projective flat and 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...
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.
On geodesic mappings preserving the Einstein tensor
Olena E. Chepurna, Volodymyr A. Kiosak, Josef Mikeš (2010)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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In this paper there are discussed the geodesic mappings which preserved the Einstein tensor. We proved that the tensor of concircular curvature is invariant under Einstein tensor-preserving geodesic mappings.