Archivio Istituzionale della RicercaLet V and S be subsets of an euclidean space with S contained in V. Suppose we have an m-jet field on V which is a Whitney field on V\S. We study two metric invariants q and l which relate in different ways the geodesic and euclidean distances on V. We prove that, if the field is at least mq/l -flat at S, then it is a Whitney field on V.
Remarks on the Generalized Hestenes' Lemma / Ferrarotti, Massimo; Wilson, L.. - In: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. - ISSN 0035-7596. - 38:(2008), pp. 461-469.
Remarks on the Generalized Hestenes' Lemma
FERRAROTTI, MASSIMO;
2008
Abstract
Let V and S be subsets of an euclidean space with S contained in V. Suppose we have an m-jet field on V which is a Whitney field on V\S. We study two metric invariants q and l which relate in different ways the geodesic and euclidean distances on V. We prove that, if the field is at least mq/l -flat at S, then it is a Whitney field on V.
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