Noneistence of Invariant Rigid Structures and Invariant Almost Rigid Structures
نویسندگان
چکیده
منابع مشابه
Nonexistence of Invariant Rigid Structures and Invariant Almost Rigid Structures
We prove that certain volume preserving actions of Lie groups and their lattices do not preserve rigid geometric structures in the sense of Gromov. The actions considered are the ”exotic” examples obtained by Katok and Lewis and the first author, by blowing up closed orbits in the well known actions on homogeneous spaces. The actions on homogeneous spaces all preserve affine connections, wherea...
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2005
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2005.v13.n1.a2