The geometry of a closed form

• Autorzy: Marisa Fernández , Raúl Ibáñez , Manuel de León
• Języki publikacji: EN

Abstrakty

EN

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 $G_{2}$-manifolds and fundamental 4-forms in quaternionic manifolds are discussed.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 45
• Numer: 1
• Strony: 155-167

Daty

wydano

1998

Twórcy

autor

Marisa Fernández

• Departamento de Matemáticas, Universidad del Pais Vasco, Apartado 644, 48080 Bilbao, Spain

autor

Raúl Ibáñez

• Departamento de Matemáticas, Universidad del Pais Vasco, Apartado 644, 48080 Bilbao, Spain

autor

Manuel de León

• Instituto de Matemáticas y Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain

Bibliografia

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