Holomorphically projective mappings of compact semisymmetric manifolds

Raad J. K. al Lami

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica (2010)

  • Volume: 49, Issue: 1, page 49-53
  • ISSN: 0231-9721

Abstract

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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 Kählerian spaces.

How to cite

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al Lami, Raad J. K.. "Holomorphically projective mappings of compact semisymmetric manifolds." Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 49.1 (2010): 49-53. <http://eudml.org/doc/116476>.

@article{alLami2010,
abstract = {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.},
author = {al Lami, Raad J. K.},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
keywords = {Holomorphically projective mapping; equiaffine space; affine-connected space; semisymmetric space; Riemannian space; Kählerian space; holomorphically projective mapping; equiaffine space; affine-connected space; semisymmetric space; Riemannian space; Kählerian space},
language = {eng},
number = {1},
pages = {49-53},
publisher = {Palacký University Olomouc},
title = {Holomorphically projective mappings of compact semisymmetric manifolds},
url = {http://eudml.org/doc/116476},
volume = {49},
year = {2010},
}

TY - JOUR
AU - al Lami, Raad J. K.
TI - Holomorphically projective mappings of compact semisymmetric manifolds
JO - Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
PY - 2010
PB - Palacký University Olomouc
VL - 49
IS - 1
SP - 49
EP - 53
AB - 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.
LA - eng
KW - Holomorphically projective mapping; equiaffine space; affine-connected space; semisymmetric space; Riemannian space; Kählerian space; holomorphically projective mapping; equiaffine space; affine-connected space; semisymmetric space; Riemannian space; Kählerian space
UR - http://eudml.org/doc/116476
ER -

References

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