Displaying similar documents to “On geodesic and holomorphically projective mappings of generalized recurrent spaces.”

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...