Let K be a compact connected Lie group, L be a connected closed subgroup of K. It is well known that L is a subgroup of maximal rank of K if and only if the Euler characteristic of the manifold M = K/L is positive. Such homogeneous spaces M have been classified in [7,10]. However, their topological
A Classification of Simple Weakly Spherical Homogeneous Spaces, I
β Scribed by Shin-Ichi Kasai; Tatsuo Kimura; Shin-Ichi Otani
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 242 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0021-8693
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β¦ Synopsis
sentation of a simple algebraic group G and GL l acts on each irreducible s 1 component as a scalar multiplication. Ε½ . In this paper I , as the first trial toward the classification of weakly spherical homogeneous spaces, we shall classify all simple weakly spherical 235
π SIMILAR VOLUMES
## Abstract We display a family of compact complex 3βmanifolds which yields all twistor spaces containing a pencil of surfaces transversal to the twistor lines. This also yields explicit families of selfβdual metrics on connected sums of complex projective planes. This yields a completely alternati