The project will study the uniqueness of Einstein manifolds that admit cohomogeneity one symmetries. We aim to produce new uniqueness results for some simple cohomogeneity one symmetries through phase plane analysis and the application of various maximum principles.
The University of Queensland
Patrick Donovan is a second-year student studying mathematics at UQ. His study focuses have mostly involved analysis with interests in differential geometry and functional analysis. He is an enthusiastic student wanting to develop and expand his mathematical knowledge and experience a taste of research.