Curve shortening by short rulers
نویسندگان
چکیده
منابع مشابه
Curve Shortening and Grayson’s Theorem
In this chapter and the next we discuss the curve shortening flow (CSF). A number of important techniques in the field of geometric flows exhibit themselves in the curve shortening flow in an elegant and less technical way. The CSF was proposed in 1956 by Mullins to model the motion of idealized grain boundaries. In 1978 Brakke studied the mean curvature flow, of which the CSF is the 1-dimensio...
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Background: There is no consensus on the best surgical treatment in Kienböck disease. We compared the shortterm outcomes of radial shortening osteotomy and capitate shortening osteotomy in patients affected with this disease. Methods: In a retrospective study of 21 patients with Lichtman stage IIIA of Kienböck disease, 12 patients with an average follow up of 3.2 ± 0.6 years had radial short...
متن کاملInflection Points, Extatic Points and Curve Shortening
As the name suggests, Curve Shortening is a gradientflow for the length functional on the space of immersed curves in the surfaceM. One can therefore try to use Curve Shortening to prove existence of geodesics by variational methods. In my talk at S’Agarro I observed that geodesics always are curves without self-tangencies, and recalled that the space of such curves has many different connected...
متن کاملCurve Shortening Flow in a Riemannian Manifold
In this paper, we systemally study the long time behavior of the curve shortening flow in a closed or non-compact complete locally Riemannian symmetric manifold. Assume that we have a global flow. Then we can exhibit a a limit for the global behavior of the flow. In particular, we show the following results. 1). Let M be a compact locally symmetric space. If the curve shortening flow exists for...
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BACKGROUND Diagnosis of short QT syndrome (SQTS) remains difficult in case of borderline QT values as often found in normal populations. Whether some shortening of refractory periods (RP) may help in differentiating SQTS from normal subjects is unknown. METHODS AND RESULTS Atrial and right ventricular RP at the apex and right ventricular outflow tract as determined during standard electrophys...
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ژورنال
عنوان ژورنال: Journal of Difference Equations and Applications
سال: 2015
ISSN: 1023-6198,1563-5120
DOI: 10.1080/10236198.2015.1073724