Generalization of Einstein metrics

9-14 September 2019

Title of the course: Generalization of Einstein metrics
Instructor: Prof. Jongsu  Kim
Institution: Sogang University
Dates: 9-14 September 2019
Prerequisites: Riemannian Geometry
Level: Graduate, advanced undergraduate
Abstract: In this lecture series we review some generalizations of Einstein metrics. These are Ricci solitons, static spaces and warped-product Eınstein metrics. As a tool to approach these strucures,  we start with some study on the so-called Codazzi tensors and  then talk about harmonic curvature and harmonic Weyl curvature.  After these, we apply the Codazzi tensor approach to study each of the above generalizations of Einstein metrics.
Language: EN