Completeness of Length-Weighted Sobolev Metrics on the Space of Curves

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/19306

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DC Field	Value	Language
dc.contributor.author	Bruveris, M	-
dc.contributor.author	Møller-Andersen, J	-
dc.date.accessioned	2019-10-15T08:59:12Z	-
dc.date.available	2019-10-15T08:59:12Z	-
dc.date.issued	2017	-
dc.identifier.citation	arXiv:1705.07976v1 [math.DG]	-
dc.identifier.uri	https://bura.brunel.ac.uk/handle/2438/19306	-
dc.identifier.uri	https://arxiv.org/abs/1705.07976	-
dc.description.abstract	In this article we prove completeness results for Sobolev metrics with nonconstant coefficients on the space of immersed curves and on the space of unparametrized curves. We provide necessary as well as sufficient conditions for the coefficients of the Riemannian metric for the metric to be metrically complete and we construct examples of incomplete metrics. This work is an extension of previous work on completeness of Sobolev metrics with constant coefficients.	en_US
dc.language.iso	en	en_US
dc.publisher	Cornell University	-
dc.subject	immersed curves	en_US
dc.subject	Sobolev metrics	en_US
dc.subject	completeness	en_US
dc.subject	minimizing geodesics	en_US
dc.subject	shape space	en_US
dc.title	Completeness of Length-Weighted Sobolev Metrics on the Space of Curves	en_US
dc.type	Preprint	en_US
pubs.notes	15 pages, 1 figure	-
Appears in Collections:	Dept of Mathematics Research Papers

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