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 \centerline{\it Math 666, Spring 1998  }

\centerline{\it  Syllabus  }

\centerline{\it Topics in Geometric Analysis on Manifolds of Non-positive Curvature }

\bigskip



 

\noindent
{\bf Part I. Geometry of Non-positively Curved Manifolds} 

\begin{enumerate}
 
\item  Preissmann Theorem;

\item  Lawson-Yau and Gromoll-Wolf splitting theorem;

\item Rigidity Theorems of Eberlein and Gromov;

\item Visibility manifolds and Gromov's hyperbolic spaces.

\end{enumerate}

\noindent
{\bf Part II. Analysis on Non-positively Curved Manifolds} 

\begin{enumerate}
 
\item  Dirichlet problem at infinity;

\item  Non-positive curvature, asymptotic behavior of heat kernal and Green's function;

\item Analysis of Laplacian operators on forms of non-positively curved spaces.



\end{enumerate}




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