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Morse index bound for minimal two spheres
File(s)
Author(s)
Sun, Yu-Chin
Type
Thesis
Abstract
Given a closed manifold of dimension at least three, with non trivial homotopy group \pi_3(M) and a generic metric, we prove that there is a finite collection of harmonic spheres with Morse index bound one, with sum of their energies realizes a geometric invariant width.
Version
Open Access
Date Issued
2019-06
Date Awarded
2020-04
URI
DOI
Copyright Statement
Creative Commons Attribution NonCommercial Licence
Advisor
Zegarlinski, Boguslaw
Publisher Department
Mathematics
Publisher Institution
Imperial College London
Qualification Level
Doctoral
Qualification Name
Doctor of Philosophy (PhD)