Título:
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Hodge theory for Riemannian solenoids.
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Autores:
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Muñoz, Vicente ;
Pérez Marco, Ricardo
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Tipo de documento:
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texto impreso
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Editorial:
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Springer, 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/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Sección de libro
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Resumen:
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A measured solenoid is a compact laminated space endowed with a transversal measure. The De Rham L 2-cohomology of the solenoid is defined by using differential forms which are smooth in the leafwise directions and L 2 in the transversal direction. We develop the theory of harmonic forms for Riemannian measured solenoids, and prove that this computes the De Rham L 2-cohomology of the solenoid.This implies in particular a Poincaré duality result.
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En línea:
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https://eprints.ucm.es/id/eprint/21338/1/VMu%C3%B1oz71.pdf
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