Is there something known about the relation of Chern's conjecture for isoparametric hypersurfaces in spheres to questions in theoretical physics?

10 October 2015 1 7K Report

The idea about isoparametric hypersurfaces comes form physics, but what about such hypersurfaces in particular space forms?

Rogier Brussee

See http://www.math.wustl.edu/~chi/iccm.pdf and other papers of QUO-SHIN CHI.

The isoparametric surfaces are surfaces of constant phase of a waveequation on some space not necessarily Euclidean and so are intimitely related to wave phenomena

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