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math.DG2020★ 5 cited
Second-order PDEs in 4D with half-flat conformal structure
Sobhi Berjawi, Eugene Ferapontov, Boris Kruglikov +1
We study second-order PDEs in 4D for which the conformal structure defined by the characteristic variety of the equation is half-flat (self-dual or anti-self-dual) on every solutio…
math.DG2009★ 6 cited
Compatibility of Gauss maps with metrics
J. Eschenburg, B. S. Kruglikov, V. S. Matveev +1
We give necessary and sufficient conditions on a smooth local map of a Riemannian manifold into the sphere to be the Gauss map of an isometric immersion …