Date

2016

Document Type

Dissertation

Degree

Doctor of Philosophy

Department

Mathematics

First Adviser

Cao, Huai-Dong

Other advisers/committee members

Sun, Xiaofeng; Napier, Terrence; Corvino, Justin

Abstract

This thesis contains my work during my Ph.D. studies at Lehigh University under the guidance of my advisor. The work is related to objects called Ricci solitons which serve as singularity models of Ricci flow. We are going to study Ricci solitons in the thesis from the following aspects:Curvature properties.Volume growth properties.Uniqueness under constraints of the asymptotic geometry.

Included in

Mathematics Commons

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