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ArticleOriginal scientific text

Title

The geometry of a closed form

Authors 1, 1, 2

Affiliations

  1. Departamento de Matemáticas, Universidad del Pais Vasco, Apartado 644, 48080 Bilbao, Spain
  2. Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain

Abstract

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, symplectic forms, fundamental 2-forms on almost contact manifolds, fundamental 3-forms on G2-manifolds and fundamental 4-forms in quaternionic manifolds are discussed.

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Banach Center Publications
1998/45/1
Export to PBN, Opens in new tab
Pages:
155-167
Main language of publication
English
Published
1998
Exact and natural sciences