##### Department of Mathematics,

University of California San Diego

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### Differential Geometry Seminar

## Peter Petersen

#### UCLA

## Warped Product Einstein Structures

##### Abstract:

We will discuss old and new questions about when a fixed Riemannian manifold is the base of a warped product Einstein manifold. This problem has been completely solved when the base is 1 or 2-dimensional and much progress has been made in higher dimensions as well. There are also many interesting extensions to the case where the base might have boundary and when we allow for warping functions that change sign.

Host: Ben Weinkove

### November 3, 2010

### 4:00 PM

### AP&M 6402

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