| eBook ISBN: | 978-1-4704-0345-4 |
| Product Code: | MEMO/158/752.E |
| List Price: | $62.00 |
| MAA Member Price: | $55.80 |
| AMS Member Price: | $37.20 |
| eBook ISBN: | 978-1-4704-0345-4 |
| Product Code: | MEMO/158/752.E |
| List Price: | $62.00 |
| MAA Member Price: | $55.80 |
| AMS Member Price: | $37.20 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 158; 2002; 114 ppMSC: Primary 51; 53; Secondary 57
We classify 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres \(\mathbb{S}^{n_1}\times\mathbb{S}^{n_2}\), 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.
ReadershipGraduate students and research mathematicians interested in geometry.
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Table of Contents
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Chapters
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1. The Leray-Serre spectral sequence
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2. Ranks of homotopy groups
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3. Some homogeneous spaces
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4. Representations of compact Lie groups
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5. The case when $G$ is simple
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6. The case when $G$ is semisimple
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7. Homogeneous compact quadrangles
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8. Homogeneous focal manifolds
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We classify 1-connected compact homogeneous spaces which have the same rational cohomology as a product of spheres \(\mathbb{S}^{n_1}\times\mathbb{S}^{n_2}\), 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.
Graduate students and research mathematicians interested in geometry.
-
Chapters
-
1. The Leray-Serre spectral sequence
-
2. Ranks of homotopy groups
-
3. Some homogeneous spaces
-
4. Representations of compact Lie groups
-
5. The case when $G$ is simple
-
6. The case when $G$ is semisimple
-
7. Homogeneous compact quadrangles
-
8. Homogeneous focal manifolds
