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Linear invariants of Riemannian almost product manifolds

Published online by Cambridge University Press:  24 October 2008

Francisco J. Carreras
Francisco J. Carreras
Affiliation:
University of Valencia, Spain
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Extract

Using the decomposition of a certain vector space under the action of the structure group of Riemannian almost product manifolds, A. M. Naveira (9) has found thirty-six distinguished classes of these manifolds. In this article, we prove that this decomposition is irreducible by computing a basis of the space of invariant quadratic forms on such a space.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 91 , Issue 1 , January 1982 , pp. 99 - 106
Copyright
Copyright © Cambridge Philosophical Society 1982

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References

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