Skip to main content
eScholarship
Open Access Publications from the University of California

UC Berkeley

UC Berkeley Electronic Theses and Dissertations bannerUC Berkeley

Asymptotically Conical Metrics and Expanding Ricci Solitons

Abstract

In this thesis we first show, at the level of formal expansions, that

any compact manifold can be the sphere at infinity of an asymptot-

ically conical gradient expanding Ricci soliton. We then prove the

existence of a smooth blowdown limit for any Ricci-DeTurck flow on

R n , starting from possibly non-smooth data which is asymptotically

conical and sufficiently L ∞ -close to an expanding soliton on R n . Fur-

thermore, this blowdown flow is an expanding Ricci-DeTurck soliton

coming out of the asymptotic cone of the initial data.

Main Content
For improved accessibility of PDF content, download the file to your device.
Current View