Memoirs of the American Mathematical Society 1997; 76 pp; softcover Volume: 125 ISBN10: 0821804839 ISBN13: 9780821804834 List Price: US$42 Individual Members: US$25.20 Institutional Members: US$33.60 Order Code: MEMO/125/595
 In this book, the author carries out a systematic investigation and construction of all possible differentiable (homotopy) Gspheres with 2dimensional 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 Gspheres are constructed by equivariant twisting of the orthogonal models. Readership Graduate students and research mathematicians interested in Lie theory and geometry and topology. Table of Contents  Organization of orthogonal models and orbit structures
 Orbit structures for Gspheres of cohomogeneity two
 The reconstruction problem
 Gspheres of cohomogeneity two with at most two isolated orbits
 Gspheres of cohomogeneity two with three isolated orbits
 Figures
 References
