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Título:
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Cohomology of Horizontal Forms
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Autores:
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Muñoz Masqué, Jaime ;
Pozo Coronado, Luis Miguel
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Tipo de documento:
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texto impreso
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Editorial:
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Birkhäuser, 2012
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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The complex of s-horizontal forms of a smooth foliation F on a manifold M is proved to be exact for every s = 1, . . . , n = codim F, and the cohomology groups of the complex of its global sections, are introduced. They are then compared with other cohomology groups associated to a foliation, previously introduced. An explicit formula for an s-horizontal primitive of an s-horizontal closed form, is given. The problem of representing a de Rham cohomology class by means of a horizontal closed form is analysed. Applications of these cohomology groups are included and several specific examples of explicit computation of such groups-even for non-commutative structure groups-are also presented.
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En línea:
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https://eprints.ucm.es/id/eprint/17107/1/Pozo100.pdf
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