Homogeneous spaces, Tits buildings, and isoparametric hypersurfaces
نویسندگان
چکیده
منابع مشابه
Se p 20 01 Homogeneous Spaces , Tits Buildings , and Isoparametric Hypersurfaces
We classify 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres S1 × S2 , with 3 ≤ n1 ≤ n2 and n2 odd. As an application, we classify compact generalized quadrangles (buildings of type C2) which admit a point transitive automorphism group, and isoparametric hypersurfaces which admit a transitive isometry group on one focal manifold. Received by...
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A subset S of a Riemannian manifoldN is called extrinsically homogeneous if S is an orbit of a subgroup of the isometry group of N . In [Th], Thorbergsson proved the remarkable result that every complete, connected, full, irreducible isoparametric submanifold of a finite dimensional Euclidean space of rank at least 3 is extrinsically homogeneous. This result, combined with results of [PT1] and ...
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ژورنال
عنوان ژورنال: Memoirs of the American Mathematical Society
سال: 2002
ISSN: 0065-9266,1947-6221
DOI: 10.1090/memo/0752