Non UBC
DSpace
Chung-Jun Tsai
2019-11-06T12:03:28Z
2019-05-09T16:00
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.
https://circle.library.ubc.ca/rest/handle/2429/72207?expand=metadata
48.0 minutes
video/mp4
Author affiliation: National Taiwan University
Oaxaca (Mexico : State)
10.14288/1.0385106
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Researcher
BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Mathematics
Differential Geometry, Geometry, Differential Geometry
The minimal sphere in the Atiyah--Hitchin manifold
Moving Image
http://hdl.handle.net/2429/72207