**Memoirs of the American Mathematical Society**

1997;
76 pp;
Softcover

MSC: Primary 57;
Secondary 22

Print ISBN: 978-0-8218-0483-4

Product Code: MEMO/125/595

List Price: $45.00

Individual Member Price: $27.00

**Electronic ISBN: 978-1-4704-0180-1
Product Code: MEMO/125/595.E**

List Price: $45.00

Individual Member Price: $27.00

# Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity. II

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*Eldar Straume*

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.

#### Table of Contents

# Table of Contents

## Compact Connected Lie Transformation Groups on Spheres with Low Cohomogeneity. II

- Contents vii8 free
- Introduction 110 free
- Chapter I: Organization of orthogonal models and orbit structures 514 free
- Chapter II: Orbit structures for G-spheres of cohomogeneity two 1524
- Chapter III: The Reconstruction Problem 2231
- Chapter IV: G-spheres of cohomogeneity two with at most two isolated orbits 3443
- Chapter V: G-spheres of cohomogeneity two with three isolated orbits 5665
- Figures 7281
- References 7483

#### Readership

Graduate students and research mathematicians interested in Lie theory and geometry and topology.