Date of Award

2019

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Graduate Group

Mathematics

First Advisor

Wolfgang Ziller

Abstract

We study the topology of closed, simply-connected, 6-dimensional Riemannian

manifolds of positive sectional curvature which admit isometric actions by SU(2) or

SO(3). We show that their Euler characteristic agrees with that of the known exam-

ples, i.e. S6, CP3, the Wallach space SU(3)=T 2 and the biquotient SU(3)==T 2. We

also classify, up to equivariant dieomorphism, certain actions without exceptional

orbits and show that there are strong restrictions on the exceptional strata.

Included in

Mathematics Commons

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