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Differential Geometry: "Warped product Einstein structure”

Dr. Chenxu He, UC Riverside

Friday, February 24, 2017
  11:10 a.m.–Noon

Location: Surge Building 268
  Parking Information

Category: Seminar


The construction of Einstein metrics on warped products has been widely used in general relativity, including the Schwarzschild metric. The study of such construction on Riemannian manifolds already appeared in Besse’s book on Einstein manifolds. A new perspective of study was introduced by Case-Shu-Wei in 2008. They studied the Einstein metrics on warped products  through the equation for the Ricci curvature of the base manifold. In this talk, I will present a few recent results on warped product Einstein metrics: the classification with interesting geometries, the uniqueness of such metrics, and the connection with non-gradient expanding Ricci solitons. It is based on the joint work with Peter Petersen (UCLA) - William Wylie (Syracuse), and with Qiang Chen.

Additional Information: Math Seminars

Open to: General Public
Admission: Free
Sponsor: Mathematics

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