Title	The minimal sphere in the Atiyah--Hitchin manifold
Creator	Tsai, Chung-Jun
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-09T16:00
Description	In a hyper-Kaehler 4-manifold, holomorphic curves are stable minimal surfaces. One may wonder whether those are all the stable minimal surfaces. Micallef gave an affirmative answer in many cases. However, this cannot be true in general. The minimal sphere in the Atiyah--Hitchin manifold is a counter-example. In this talk, we will first recall the hyper-Kaehler geometry of Atiyah--Hitchin manifold. We will then explain that the minimal sphere is quite rigid in various senses. This is based on a joint work with Mu-Tao Wang.
Extent	48.0 minutes
Subject	Mathematics; Differential geometry; Geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: National Taiwan University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-11-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0385106
URI	http://hdl.handle.net/2429/72207
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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