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@article{877406, author = {Zalabová, Lenka}, article_number = {2}, keywords = {Cartan geometries; Parabolic geometries; |1|-graded geometries; Weyl structures; Symmetric spaces}, language = {eng}, issn = {0232-704X}, journal = {Annals of Global Analysis and Geometry}, title = {Parabolic symmetric spaces}, volume = {37}, year = {2010} }
TY - JOUR ID - 877406 AU - Zalabová, Lenka PY - 2010 TI - Parabolic symmetric spaces JF - Annals of Global Analysis and Geometry VL - 37 IS - 2 SP - 125-141 EP - 125-141 PB - Springer SN - 0232704X KW - Cartan geometries KW - Parabolic geometries KW - |1|-graded geometries KW - Weyl structures KW - Symmetric spaces N2 - We study here systems of symmetries on |1|-graded parabolic geometries. We are interested in smooth systems of symmetries, and we discuss non-flat homogeneous |1|-graded geometries. We show the existence of an invariant admissible affine connection under quite weak condition on the system. ER -
ZALABOVÁ, Lenka. Parabolic symmetric spaces. \textit{Annals of Global Analysis and Geometry}. Springer, 2010, vol.~37, No~2, p.~125-141. ISSN~0232-704X.
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