Classification of invariant AHS-structures on semisimple locally symmetric spaces

• Autorzy: Jan Gregorovič
• Języki publikacji: EN

Abstrakty

EN

We discuss which semisimple locally symmetric spaces admit an AHS-structure invariant under local symmetries. We classify them for all types of AHS-structures and determine possible equivalence classes of such AHS-structures.

Słowa kluczowe

EN

Semisimple locally symmetric space; Invariant geometric structure; Almost hermitian symmetric structure; |1|-graded parabolic geometry; Classification

Kategorie tematyczne

• 53C10: G -structures
• 53C35: Symmetric spaces

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 12
• Strony: 2062-2075

Daty

wydano

2013-12-01

online

2013-10-08

Twórcy

autor

Jan Gregorovič

• Aarhus University,

Bibliografia

• [1] Berger M., Les espaces symétriques noncompacts, Ann. Sci. École Norm. Sup., 1957, 74(2), 85–177
• [2] Bertram W., The Geometry of Jordan and Lie Structures, Lecture Notes in Math., 1754, Springer, Berlin, 2000 http://dx.doi.org/10.1007/b76884
• [3] Čap A., Slovák J., Parabolic Geometries I, Math. Surveys Monogr., 154, American Mathematical Society, Providence, 2009
• [4] 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
• [5] 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/s11533-013-0318-5