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On holomorphically projective mappings from equiaffine generally recurrent spaces onto Kählerian spaces

Raad J. K. al Lami; Marie Škodová; Josef Mikeš — 2006

Archivum Mathematicum

In this paper we consider holomorphically projective mappings from the special generally recurrent equiaffine spaces $A_{n}$ onto (pseudo-) Kählerian spaces ${\bar{K}}_{n}$ . We proved that these spaces $A_{n}$ do not admit nontrivial holomorphically projective mappings onto ${\bar{K}}_{n}$ . These results are a generalization of results by T. Sakaguchi, J. Mikeš and V. V. Domashev, which were done for holomorphically projective mappings of symmetric, recurrent and semisymmetric Kählerian spaces.

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

Škodová, Marie; Mikeš, Josef; Pokorná, Olga — 2005

Proceedings of the 24th Winter School "Geometry and Physics"

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