Toric Einstein 4-manifolds with nonnegative sectional curvature
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Degree type
Doctor of Philosophy (PhD)
Graduate group
Mathematics
Discipline
Mathematics
Subject
4-manifold
Einstein metric
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