Differential Geometry: "Four-dimensional Shrinking Ricci Solitons with Positive Isotropic Curvature"

Xiaolong Li, UC Irvine [Profile]

Abstract: We show that a four-dimensional complete gradient shrinking Ricci soliton with positive isotropic curvature is either a quotient of S^4 or a quotient of S^3 x R. We also give a classification result on four-dimensional gradient shrinking Ricci solitons with non-negative isotropic curvature.This is joint work with Lei Ni and Kui Wang.

 

Friday, March 2 at 11:10am to 12:00pm

Campus Surge, 268

Event Type

Lectures & Presentations

Audience

General Public

Website

http://mathdept.ucr.edu/research/rese...

Department
Mathematics
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