On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds

Irena Hinterleitner; Josef Mikeš

Archivum Mathematicum (2013)

  • Volume: 049, Issue: 5, page 295-302
  • ISSN: 0044-8753

Abstract

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In this paper we study fundamental equations of holomorphically projective mappings from manifolds with equiaffine connection onto (pseudo-) Kähler manifolds with respect to the smoothness class of connection and metrics. We show that holomorphically projective mappings preserve the smoothness class of connections and metrics.

How to cite

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Hinterleitner, Irena, and Mikeš, Josef. "On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds." Archivum Mathematicum 049.5 (2013): 295-302. <http://eudml.org/doc/260779>.

@article{Hinterleitner2013,
abstract = {In this paper we study fundamental equations of holomorphically projective mappings from manifolds with equiaffine connection onto (pseudo-) Kähler manifolds with respect to the smoothness class of connection and metrics. We show that holomorphically projective mappings preserve the smoothness class of connections and metrics.},
author = {Hinterleitner, Irena, Mikeš, Josef},
journal = {Archivum Mathematicum},
keywords = {holomorphically projective mapping; smoothness class; Kähler manifold; manifold with affine connection; fundamental equation; holomorphically projective mapping; smoothness class; Kähler manifold; manifold with affine connection; fundamental equation},
language = {eng},
number = {5},
pages = {295-302},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds},
url = {http://eudml.org/doc/260779},
volume = {049},
year = {2013},
}

TY - JOUR
AU - Hinterleitner, Irena
AU - Mikeš, Josef
TI - On holomorphically projective mappings from manifolds with equiaffine connection onto Kähler manifolds
JO - Archivum Mathematicum
PY - 2013
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 049
IS - 5
SP - 295
EP - 302
AB - In this paper we study fundamental equations of holomorphically projective mappings from manifolds with equiaffine connection onto (pseudo-) Kähler manifolds with respect to the smoothness class of connection and metrics. We show that holomorphically projective mappings preserve the smoothness class of connections and metrics.
LA - eng
KW - holomorphically projective mapping; smoothness class; Kähler manifold; manifold with affine connection; fundamental equation; holomorphically projective mapping; smoothness class; Kähler manifold; manifold with affine connection; fundamental equation
UR - http://eudml.org/doc/260779
ER -

References

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