On equitorsion holomorphically projective mappings of generalized Kählerian spaces

Mića S. Stanković; Svetislav M. Minčić; Ljubica S. Velimirović

Displaying similar documents to “On equitorsion holomorphically projective mappings of generalized Kählerian spaces”

Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind

Mića S. Stanković, Milan Lj. Zlatanović, Ljubica S. Velimirović (2010)

Czechoslovak Mathematical Journal

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In this paper we define generalized Kählerian spaces of the first kind $(G {\underset{1}{K}}_{N})$ given by (2.1)–(2.3). For them we consider hollomorphically projective mappings with invariant complex structure. Also, we consider equitorsion geodesic mapping between these two spaces ( $G {\underset{1}{K}}_{N}$ and $G {\underset{1}{\bar{K}}}_{N}$ ) and for them we find invariant geometric objects.

On holomorphically projective mappings from equiaffine symmetric and recurrent spaces onto Kählerian spaces

Škodová, Marie, Mikeš, Josef, Pokorná, Olga

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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 $A_{n}$ onto (pseudo-) Kählerian spaces ${\bar{K}}_{n}$ . We proved that in this case space $A_{n}$ is holomorphically projective flat and ${\bar{K}}_{n}$ 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...