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Critical metrics for eigenvalues in Riemannian Geometry and minimal / harmonic maps

Posted in
Alexei Penskoi
MPIM, Bonn
Thu, 04/07/2024 - 16:30 - 18:00
MPIM Lecture Hall

Eigenvalues of a differential operator defined using a metric (Laplace
operator, Dirac operator etc) are functionals on the space of Riemannian
metrics. Investigation of critical metrics for these functionals is a
natural approach in study of maximal / minimal metrics. It turns out that a
relation between critical metrics and minimal / harmonic maps is a very
powerful tool.


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