Holomorphically projective mappings of compact semisymmetric manifolds

Al Lamy, Raad J. K.

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 49 (2010) no. 1, pp. 49-53

Abstract (VO)

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 Kählerian spaces.

Détail

Classification : 53B20, 53B30, 53B35
Keywords: Holomorphically projective mapping; equiaffine space; affine-connected space; semisymmetric space; Riemannian space; Kählerian space

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