The geometry of a closed form

doi:https://doi.org/10.4064/-45-1-155-167

The geometry of a closed form

Marisa Fernández,Raúl Ibáñez,Manuel de León-1998-01-01-Banach Center Publications

TL;DRAbstract

It is proved that a closed r-form ω on a manifold M defines a cohomology (called ω-coeffective) on M. A general algebraic machinery is developed to extract some topological information contained in the ω-coeffective cohomology. The cases of 1-forms, sympl

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It is proved that a closed r-form ω on a manifold M defines a cohomology (called ω-coeffective) on M. A general algebraic machinery is developed to extract some topological information contained in the ω-coeffective cohomology. The cases of 1-forms, sympl

Keywords

MathematicsCohomologyManifold (fluid mechanics)Pure mathematicsAlgebra over a fieldDe Rham cohomologyAlgebraic geometryAlgebraic number

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