8-9 November 2018
University of Fribourg, Switzerland
Europe/Berlin timezone

Local flexibility of open partial differential relations

9 Nov 2018, 15:30
University of Fribourg, Switzerland

University of Fribourg, Switzerland


Bernhard Hanke (Augsburg University)


In his famous book on partial differential relations Gromov formulates an exercise concerning local deformations of solutions to open partial differential relations. We will explain the content of this fundamental assertion and sketch a proof.

We will illustrate this by various examples, including the construction of $C^{1,1}$-Riemannian metrics which are positively curved "almost everywhere" on arbitrary manifolds.

This is joint work with Christian Bär (Potsdam).

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