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Smooth manifolds of a given homotopy type

Published online by Cambridge University Press:  07 July 2004

HAIBAO DUAN  and
YANG SU
HAIBAO DUAN
Affiliation:
Institute of Mathmematics, Chinese Academy of Sciences, Beijing 100080, P. R. China. e-mail: dhb@math.ac.cn
YANG SU
Affiliation:
Department of Mathematics, Peking University, Beijing 100871, P. R. China. e-mail: suy@math.pku.edu.cn
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Abstract

In the metastable range $3 \leq p < q < 2p - 3$, and modulo the action of the group of homotopy spheres, we classify diffeomorphism types of smooth manifolds that are homotopy equivalent to the products $S^{p} \times S^{q}$ of spheres.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 1 , July 2004 , pp. 175 - 189
Copyright
2004 Cambridge Philosophical Society

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