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An extension of Wolpert's derivative formula

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UNSPECIFIED (2001) An extension of Wolpert's derivative formula. PACIFIC JOURNAL OF MATHEMATICS, 197 (1). pp. 223-239. ISSN 0030-8730

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Abstract

A well known formula of Wolpert expresses the derivative of length of a geodesic gamma on a hyperbolic surface with respect to the Fenchel Nielsen twist about a fixed simple geodesic C as a sum of the cosines of the intersection angles between the two curves. We derive an analogous formula for the derivative of the length of gamma with respect to variation of the length of the fixed curve C.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Journal or Publication Title: PACIFIC JOURNAL OF MATHEMATICS
Publisher: PACIFIC JOURNAL MATHEMATICS
ISSN: 0030-8730
Date: January 2001
Volume: 197
Number: 1
Number of Pages: 17
Page Range: pp. 223-239
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/12600

Data sourced from Thomson Reuters' Web of Knowledge

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