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On the topological structure of affinely connected manifolds

Published online by Cambridge University Press:  22 January 2016

Tatsuo Higa
Tatsuo Higa*
Affiliation:
Department of Mathematics Faculty of Science, Rikkyo University, Tokyo 171, Japan
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The purpose of the present paper is to investigate the relationship between the topological structure and differential geometric objects for affinely connected manifolds.

Let M be a compact, connected and oriented Riemannian manifold, Pr(M) the vector space of all parallel r-forms on M and br(M) the r-th Betti number of M.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 96 , December 1984 , pp. 41 - 60
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1984

References

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