Title	A new class of integrable surfaces associated with Bertrand curves
Creator	Perline, Ron
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-14T16:34
Description	We present a new class of integrable surfaces associated with Bertrand curves. These surfaces are foliated by constant-torsion curves evolving according to a novel integrable geometric flow. Curves transverse to the constant-torsion curves (orbit curves) are Bertrand curves on the surface. The surfaces discussed interpolate two known integrable systems and we establish the connection. We also use tools from soliton theory to generate surface solutions using B\"{a}cklund transformations.
Extent	35 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Ordinary differential equations; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Drexel University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-06-10
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0348202
URI	http://hdl.handle.net/2429/61903
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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