Compact connected Lie transformation groups on spheres with low cohomogeneity
著者
書誌事項
Compact connected Lie transformation groups on spheres with low cohomogeneity
（Memoirs of the American Mathematical Society, no. 569,
American Mathematical Society, 1996-1997
- 1
- 2
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注記
"January 1996, volume 119, number 569 (second of 5 numbers)" -- T.p. of v. 1
"January 1997, volume 125, number 595 (first of 5 numbers)" -- T.p. of v. 2
Includes bibliographical references
内容説明・目次
- 巻冊次
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1 ISBN 9780821804094
内容説明
This text is aimed at researchers studying Lie transformation groups.
- 巻冊次
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2 ISBN 9780821804834
内容説明
In this book, the author carries out a systematic investigation and construction of all possible differentiable (homotopy) G-spheres with 2-dimensional orbit space, where G is any compact connected Lie group. Based on the geometric weight system classification of Part I, the possible orbit structures are determined, and the exotic G-spheres are constructed by equivariant twisting of the orthogonal models.
目次
Organization of orthogonal models and orbit structures Orbit structures for G-spheres of cohomogeneity two The reconstruction problem G-spheres of cohomogeneity two with at most two isolated orbits G-spheres of cohomogeneity two with three isolated orbits Figures References.
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