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DC Field | Value | Language |
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dc.contributor.author | Bruveris, M | - |
dc.contributor.author | Michor, PW | - |
dc.contributor.author | Mumford, D | - |
dc.date.accessioned | 2014-12-18T16:25:44Z | - |
dc.date.available | 2013-12-17 | - |
dc.date.available | 2014-12-18T16:25:44Z | - |
dc.date.issued | 2014 | - |
dc.identifier.citation | Forum of Mathematics, Sigma, 1 (e19), 2014 | en_US |
dc.identifier.issn | 2050-5094 | - |
dc.identifier.uri | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9307773&fileId=S205050941400019X | - |
dc.identifier.uri | http://bura.brunel.ac.uk/handle/2438/9561 | - |
dc.description.abstract | We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as initial data in certain Sobolev spaces. Thus the space of closed plane curves equipped with such a metric is geodesically complete. We find lower bounds for the geodesic distance in terms of curvature and its derivatives. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Forum of Mathematics | en_US |
dc.subject | 2010 Mathematics Subject Classification: 58D15 (primary) | en_US |
dc.subject | 35G55, 53A04, 58B20 (secondary) | en_US |
dc.title | Geodesic Completeness for Sobolev Metrics on the Space of Immersed Plane Curves | en_US |
dc.type | Article | en_US |
dc.identifier.doi | http://dx.doi.org/10.1017/fms.2014.19 | - |
dc.relation.isPartOf | Sigma | - |
dc.relation.isPartOf | Sigma | - |
pubs.notes | 36 pages, LaTeX | - |
pubs.notes | 36 pages, LaTeX | - |
pubs.organisational-data | /Brunel | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mathematics | - |
pubs.organisational-data | /Brunel/Brunel Staff by College/Department/Division/College of Engineering, Design and Physical Sciences/Dept of Mathematics/Mathematical Sciences | - |
Appears in Collections: | Dept of Mathematics Research Papers |
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Fulltext.pdf | 246.44 kB | Adobe PDF | View/Open |
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