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The geometry of a closed form

Marisa Fernández; Raúl Ibáñez; Manuel de León

Banach Center Publications (1998)

  • Volume: 45, Issue: 1, page 155-167
  • ISSN: 0137-6934

Abstract

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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, 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.

How to cite

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Fernández, Marisa, Ibáñez, Raúl, and de León, Manuel. "The geometry of a closed form." Banach Center Publications 45.1 (1998): 155-167. <http://eudml.org/doc/208900>.

@article{Fernández1998,
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 $G_\{2\}$-manifolds and fundamental 4-forms in quaternionic manifolds are discussed.},
author = {Fernández, Marisa, Ibáñez, Raúl, de León, Manuel},
journal = {Banach Center Publications},
keywords = {coeffective cohomology; symplectic forms; almost contact manifolds; quaternionic manifolds},
language = {eng},
number = {1},
pages = {155-167},
title = {The geometry of a closed form},
url = {http://eudml.org/doc/208900},
volume = {45},
year = {1998},
}

TY - JOUR
AU - Fernández, Marisa
AU - Ibáñez, Raúl
AU - de León, Manuel
TI - The geometry of a closed form
JO - Banach Center Publications
PY - 1998
VL - 45
IS - 1
SP - 155
EP - 167
AB - 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.
LA - eng
KW - coeffective cohomology; symplectic forms; almost contact manifolds; quaternionic manifolds
UR - http://eudml.org/doc/208900
ER -

References

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