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Compact connected Lie transformation groups on spheres with low cohomogeneity. II /
The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. We are concerned with the classification of differentiable compact connected Lie transformation groups on (homology) spheres, with [italic]c...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, R.I. :
American Mathematical Society,
1997.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 595. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. We are concerned with the classification of differentiable compact connected Lie transformation groups on (homology) spheres, with [italic]c [less than or equal to symbol] 2, and the main results are summarized in five theorems, A, B, C, D, and E in part I. This paper is part II of the project, and addresses theorems D and E.D examines the orthogonal model from theorem A and orbit structures, while theorem E addresses the existence of "exotic" [italic capital]G-spheres |
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| Notas: | Continues: Compact connected Lie transformation groups on spheres with low cohomogeneity, I. 1996. "January 1997, volume 125, number 595 (first of 5 numbers)." |
| Descripción Física: | 1 online resource (viii, 76 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 74-75). |
| ISBN: | 9781470401801 1470401800 |
| ISSN: | 1947-6221 ; 0065-9266 |