Department of Mathematics

Indian Institute of Science

Bangalore 560 012

 

SEMINAR

 

Speaker

:

Dr. Hemangi Shah, 
Affiliation : IISc

Subject Area

:

Mathematics

 

Venue

:

Lecture Hall - I, Dept. of Mathematics

 

Time

:

4.00 pm

 

Date  

:

Oct 19, 2009 (Monday)

Title

:

Buseman functions in a harmonic manifold
Abstract

:

For a noncompact complete and simply connected harmonic manifold M, we prove the analyticity of Busemann functions on M. This is the main result of this paper. An application of it shows that the
harmonic spaces having minimal horospheres have the bi-asymptotic property. Finally we prove that the total Busemann function is continuous in C^\infty topology. As a consequence of it we show
that the uniform divergence of geodesics holds in these spaces.