##### Department of Mathematics,

University of California San Diego

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### Math 240A - Analysis

## Jiri Lebl

#### UCSD Graduate Student

## Almost minimal CR submanifolds

##### Abstract:

In this talk we investigate what kind of CR manifolds have the following local uniqueness property: If two holomorphic functions have the same modulus on the manifold they are equal (up to a constant) in the whole space. Minimal generic submanifolds have this property. We will investigate the nonminimal case and we will give a sufficient geometric property which we will call almost minimality. This condition is related to the manifold being contained in a possibly singular real analytic Levi-flat hypersurface.

Host:

### April 18, 2006

### 10:30 AM

### AP&M 6218

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