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Differentiable Structures on the 15-Sphere and Pontrjagin Classes of Certain Manifolds

Published online by Cambridge University Press:  22 January 2016

Nobuo Shimada
Nobuo Shimada*
Affiliation:
Mathematical Institute, Nagoya University
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No manifold had been known which can carry two distinct differentiable structures until the recent important contribution due to J. Milnor [7] concerning the 7-sphere appeared.

In connection with his work, there are several problems, for example, about the existence of any other manifold with such property, about the topological invariance of the Pontrjagin classes of manifolds, etc.; some of them will be discussed in the present note.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 12 , December 1957 , pp. 59 - 69
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1957

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