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Título:
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Smooth approximation of Lipschitz functions on Finsler manifolds
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Autores:
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Garrido, M. Isabel ;
Jaramillo Aguado, Jesús Ángel ;
Rangel, Yenny C.
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Tipo de documento:
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texto impreso
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Editorial:
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Hindawi, 2013
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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: Geometría diferencial
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Tipo = Artículo
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Resumen:
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We study the smooth approximation of Lipschitz functions on Finsler manifolds, keeping control on the corresponding Lipschitz constants. We prove that, given a Lipschitz function f : M -> R defined on a connected, second countable Finsler manifold M, for each positive continuous function epsilon : M -> (0, infinity) and each r > 0, there exists a C-1-smooth Lipschitz function g : M -> R such that vertical bar f(x) - g(x)vertical bar C-b(1)(M) as composition operators. From this we obtain a variant of Myers-Nakai Theorem in the context of complete reversible Finsler manifolds.
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En línea:
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https://eprints.ucm.es/id/eprint/23180/1/Jaramillo200.pdf
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