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Linear invariants of Riemannian almost product manifolds
Francisco J. Carrerassubject
Discrete mathematicsPure mathematicsCurvature of Riemannian manifoldsGeneral MathematicsLinear invariantsFundamental theorem of Riemannian geometryRiemannian geometryManifoldsymbols.namesakeRicci-flat manifoldProduct (mathematics)symbolsDifferential topologyMathematics::Differential GeometryMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1982-01-01 | Mathematical Proceedings of the Cambridge Philosophical Society |