Contractibility results for certain spaces of Riemannian metrics on the disc
METADATA ONLY
Loading...
Author / Producer
Date
2021-11-22
Publication Type
Journal Article
ETH Bibliography
yes
Citations
Altmetric
METADATA ONLY
Data
Rights / License
Abstract
We provide a general contractibility criterion for subsets of Riemannian metrics on the disc. For instance, this result applies to the space of metrics that have positive Gauss curvature and make the boundary circle convex (or geodesic). The same conclusion is not known in any dimension n≥3, and (by analogy with the closed case) is actually expected to be false for many values of n≥4.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
28 (4)
Pages / Article No.
1033 - 1045
Publisher
International Press of Boston
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Organisational unit
09582 - Carlotto, Alessandro (ehemalig) / Carlotto, Alessandro (former)
Notes
Funding
947923 - CHallenges in ANalysis and GEometry, between mean and scalar curvature (EC)