Linear invariants of Riemannian almost product manifolds-Reference-Cited by-同舟云学术

Linear invariants of Riemannian almost product manifolds

Published:1982-01 Issue:1 Volume:91 Page:99-106
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Carreras Francisco J.

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. (8) Montesinos A. On certain classes of almost product structures, preprint.

2. Pseudo-Riemannian almost product manifolds and submersions;Gray;J. Math. Mech,1967

3. (9) Naveira A. M. A classification of Riemannian almost product manifolds, preprint.

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