Skip to main content

Existence of metrics maximizing the first eigenvalue on closed surfaces

Posted in
Speaker: 
Henrik Matthiesen
Affiliation: 
MPI
Date: 
Thu, 2017-10-19 16:30 - 17:30
Location: 
MPIM Lecture Hall

We show that on each closed surface of fixed topological type, orientable or non-orientable,
there is a metric, smooth away from finitely many conical singularities, that maximizes the
first eigenvalue among all unit area metrics. The key new ingredient are several monotonicity
results relating the corresponding maximal eigenvalues. This is joint work with Anna Siffert.

© MPI f. Mathematik, Bonn Impressum
-A A +A