From ypoon@math.ucr.edu Wed Nov 29 20:08:39 1995
To: claude@math.sunysb.edu
Subject: abstract
Content-Length: 5747
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Status: RO
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X-Keywords:                 
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Dear Claude

I submit my abstract to ams by e-mail. And there is no bounce-back
in 4 hours. It seems that it works. 

I also ran through  the first page of your paper on Einstein metric.
Although it is irrelevant to you work, I am suprised that you did not
mention the case when the Hitchin inequality is an equality.
Due to Nigel's work, when equality, it is the Yau metric on K3
or flat.
And we know that there are lots of manifolds homeomoprhic to K3
(hence satisfies the Hitchin equality) but not diffeormphic
Therefore there are many examples
in the equality cases that  does not have Einstein metric.

see you on Friday.

sun..


following is my abstract again.



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% | Name of presenter: Y. S. Poon                                         |
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% | Address*:  Department of Mathematics                                  |
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% |            University of California at Riverside                      |
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% |            Riverside CA 92521                                         |
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\input amstex
\documentstyle{amsabs}
%\proof

\topmatter
&\\author{Y. S. Poon, \}\newline
\\author{A.  B. Madsen \}\newline
\\author{H. Pedersen, \}\newline
\\address{University of California at Riverside, Riverside, CA 92521,\}
\\address\{\}\newline
\\address{Odense Univeristy, Campusvey 55, Odense M, DK-5230, Denmark. \}
\typew \\author{A. Swann ,\}\newline
\\address{University of Bath, Calverton Down, Bath BA2 7AY.\}
\title{Compact Einstein-Weyl Manifolds with Large Symmetry Group }
%\prelim
\endtopmatter

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\document
% Abstract text begins here
The Einstein-Weyl equations are a conformally invariant generalization of
the Einstein equations. We constructs and classify compact four-dimensional
Einstein-Weyl manifolds with at least four-dimensional symmetry group.

\enddocument