Delladio, Silvano (2004) A result about C2-rectifiability of one-dimensional rectifiable sets: application to a class of one-dimensional integral currents. UNSPECIFIED. (Unpublished)
Abstract
Let γ, τ : [a, b] → Rk+1 be a couple of Lipschitz maps such that γ’ = | γ’| τ almost everywhere in [a, b]. Then γ ([a, b]) is a C2-rectifiable set, namely it may be covered by countably many curves of class C2 embedded in Rk+1. As a consequence, projecting the rectifiable carrier of a one-dimensional generalized Gauss graph provides a C2-rectifiable set.
| Item Type: | Departmental Technical Report |
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| Department or Research center: | Mathematics |
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| Subjects: | Q Science > QA Mathematics > QA445 Geometry |
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| Uncontrolled Keywords: | Rectifiable sets, Geometric measure theory, Non-homogeneous blow-ups, Counterexamples, Whitney extension theorem. |
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| Report Number: | UTM 666, May 2004 |
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| Repository staff approval on: | 18 May 2005 |
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