##### Department of Mathematics,

University of California San Diego

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### Differential Geometry Seminar

## Mauro Carfora

#### University of Pavia

## Ricci flow conjugation and Initial data sets for Einstein Equation

##### Abstract:

We discuss a natural form of Ricci-Flow conjugation between two distinct general relativistic data sets given on a compact $n$-dimensional manifold. The Ricci flow generates a form of $L^2$ parabolic averaging, of one data set with respect to the other, with a number of desiderable properties: (i) Preservation of the dominant energy condition; (ii) Localization by a heat kernel, (associated with the linearized Ricci flow), whose support sets the scale of averaging; (iii) Entropic stability.

Host: Lei Ni

### May 2, 2011

### 4:00 PM

### AP&M 5829

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