A non-homogeneous, symmetric contact projective structure

Lenka Zalabová

Open Mathematics (2014)

  • Volume: 12, Issue: 6, page 879-886
  • ISSN: 2391-5455

Abstract

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We construct a non-homogeneous contact projective structure which is symmetric from the point of view of parabolic geometries.

How to cite

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Lenka Zalabová. "A non-homogeneous, symmetric contact projective structure." Open Mathematics 12.6 (2014): 879-886. <http://eudml.org/doc/269145>.

@article{LenkaZalabová2014,
abstract = {We construct a non-homogeneous contact projective structure which is symmetric from the point of view of parabolic geometries.},
author = {Lenka Zalabová},
journal = {Open Mathematics},
keywords = {Projective spaces; Symplectic linear algebra; Contact projective geometries; Symmetric parabolic geometries; projective spaces; symplectic linear algebra; contact projective geometries; symmetric parabolic geometries},
language = {eng},
number = {6},
pages = {879-886},
title = {A non-homogeneous, symmetric contact projective structure},
url = {http://eudml.org/doc/269145},
volume = {12},
year = {2014},
}

TY - JOUR
AU - Lenka Zalabová
TI - A non-homogeneous, symmetric contact projective structure
JO - Open Mathematics
PY - 2014
VL - 12
IS - 6
SP - 879
EP - 886
AB - We construct a non-homogeneous contact projective structure which is symmetric from the point of view of parabolic geometries.
LA - eng
KW - Projective spaces; Symplectic linear algebra; Contact projective geometries; Symmetric parabolic geometries; projective spaces; symplectic linear algebra; contact projective geometries; symmetric parabolic geometries
UR - http://eudml.org/doc/269145
ER -

References

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  1. [1] Čap A., Slovák J., Parabolic Geometries I, Math. Surveys Monogr., 154, American Mathematical Society, Providence, 2009 Zbl1183.53002
  2. [2] Fox D.J.F., Contact projective structures, Indiana Univ. Math. J., 2005, 54(6), 1547–1598 http://dx.doi.org/10.1512/iumj.2005.54.2603 Zbl1093.53083
  3. [3] Gregorovič J., General construction of symmetric parabolic structures, Differential Geom. Appl., 2012, 30(5), 450–476 http://dx.doi.org/10.1016/j.difgeo.2012.06.006 Zbl06092689
  4. [4] Gregorovič J., Zalabová L., Symmetric parabolic contact geometries and symmetric spaces, Transform. Groups, 2013, 18(3), 711–737 http://dx.doi.org/10.1007/s00031-013-9231-z Zbl1279.53075
  5. [5] Podesta F., A class of symmetric spaces, Bull. Soc. Math. France, 1989, 117(3), 343–360 Zbl0697.53047
  6. [6] Zalabová L., Parabolic symmetric spaces, Ann. Global Anal. Geom., 2010, 37(2), 125–141 http://dx.doi.org/10.1007/s10455-009-9177-5 Zbl1188.53026

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