SYMMETRIC PARABOLIC CONTACT GEOMETRIES AND SYMMETRIC SPACES

• Autoři: GREGOROVIČ Jan; ZALABOVÁ Lenka
• Rok publikování: 2013
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Transformation Groups
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• Doi: https://doi.org/10.1007/s00031-013-9231-z
• Obor: Obecná matematika
• Klíčová slova: parabolic contact geometry; symmetric spaces; homogeneous spaces; invariant geometric structures
• Popis: We discuss parabolic contact geometries carrying a smooth system of symmetries. We show that there is a symmetric space such that the parabolic geometry (G -> M, w) is a fibre bundle over this symmetric space if and only if the base manifold M is a homogeneous reflexion space. We investigate the conditions under which there is an invariant geometric structure on this symmetric space induced by the parabolic contact geometry.

Související projekty

• Algebraické a geometrické metody a struktury