Title	Harmonic maps to the hyperbolic plane and the classification of surfaces of constant curvature in Minkowski space
Creator	Seppi, Andrea
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-03T12:15
Description	Minkowski space of dimension 2+1 is the Lorentzian analogue of Euclidean 3-space. It is well-known that the Gauss map of a Riemannian surface of constant mean curvature (CMC) in Minkowski space is harmonic, while the Gauss map of a surface of constant Gaussian curvature (CGC) is minimal Lagrangian. In this talk I will present a classification result for properly embedded CMC and CGC surfaces in Minkowski space, and show how harmonic maps from the complex plane to the hyperbolic plane play an essential role in the proof. This is joint work with Francesco Bonsante and Peter Smillie.
Extent	56.0
Subject	Mathematics; Differential geometry; Global analysis, analysis on manifolds
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Luxembourg
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-29
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377648
URI	http://hdl.handle.net/2429/69330
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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