A non-homogeneous, symmetric contact projective structure

• Autorzy: Lenka Zalabová
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Projective spaces; Symplectic linear algebra; Contact projective geometries; Symmetric parabolic geometries

Kategorie tematyczne

• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53C30: Homogeneous manifolds
• 53D10: Contact manifolds, general

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 6
• Strony: 879-886

Daty

wydano

2014-06-01

online

2014-03-19

Twórcy

autor

Lenka Zalabová

• University of South Bohemia

Bibliografia

• [1] Čap A., Slovák J., Parabolic Geometries I, Math. Surveys Monogr., 154, American Mathematical Society, Providence, 2009
• [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
• [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
• [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
• [5] Podesta F., A class of symmetric spaces, Bull. Soc. Math. France, 1989, 117(3), 343–360
• [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

Identyfikatory

DOI

10.2478/s11533-013-0383-9