Toric Einstein 4-manifolds with nonnegative sectional curvature

Loading...
Thumbnail Image
Degree type
Doctor of Philosophy (PhD)
Graduate group
Mathematics
Discipline
Mathematics
Subject
4-manifold
Einstein metric
Funder
Grant number
License
Copyright date
01/01/2024
Distributor
Related resources
Author
Liu, Tianyue
Contributor
Abstract

We prove that the only T^2 invariant Einstein metrics with nonnegative sectional curvature on closed 1-connected four manifolds are the known examples: the round metric on S^4, the Fubini-Study metric on C P^2, or the product metric on S^2 times S^2.

Advisor
Ziller, Wolfgang
Date of degree
2024
Date Range for Data Collection (Start Date)
Date Range for Data Collection (End Date)
Digital Object Identifier
Series name and number
Volume number
Issue number
Publisher
Publisher DOI
Journal Issue
Comments
Recommended citation