Topological Signals of Singularities in Ricci Flow

Topological Signals of Singularities in Ricci Flow

We implement methods from computational homology to obtain a topological signal of singularity formation in a selection of geometries evolved numerically by Ricci flow. Our approach, based on persistent homology, produces precise, quantitative measures describing the behavior of an entire collection...

Full description

Bibliographic Details
Main Authors: Paul M. Alsing, Howard A. Blair, Matthew Corne, Gordon Jones, Warner A. Miller, Konstantin Mischaikow, Vidit Nanda
Format: Article
Language:English
Published: MDPI AG 2017-08-01
Series:Axioms
Subjects:
persistent homology
Ricci flow
discrete Ricci flow
singularity detection
Online Access:https://www.mdpi.com/2075-1680/6/3/24

Internet

https://www.mdpi.com/2075-1680/6/3/24

Similar Items