We classify 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres $\mahtbb{S}^{n_1}\times\mathbb{S}^{n_2}$, with $3\leq n_1\leq n_2$ and $n_2$ odd. As an application, we classify compact generalized quadrangles (buildings of type $C_2)$ which admit a point transitive automorphism group, and isoparametric hypersurfaces which admit a transitive isometry group on one focal manifold.
Reihe
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
Gewicht
ISBN-13
978-0-8218-2906-6 (9780821829066)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
The Leray-Serre spectral sequence Ranks of homotopy groups Some homogeneous spaces Representations of compact Lie groups The case when $G$ is simple The case when $G$ is semisimple Homogeneous compact quadrangles Homogeneous focal manifolds Bibliography.
