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The fundamental group of manifolds of positive isotropic curvature and surface groups
Ailana Fraser, Jon Wolfson
In this paper we study the topology of compact manifolds of positive isotropic curvature (PIC). There are many examples of non-simply connected compact manifolds with positive isot…
Area minimizers in a K3 surface and holomorphicity
Mario Micallef, Jon Wolfson
A well known consequence of the Wirtinger inequality is that in a Kaehler surface a holomorphic curve is an area minimizer in its homology class. In light of this result it is natu…
The Lefschetz theorem for CR manifolds and the nonexistence of real analytic Levi flat submanifolds
Lei Ni, Jon Wolfson
We prove the Lefchetz theorem for CR submanifolds in Hermitian symmetric spaces. As an application we prove the nonexistence of real analytic Levi flat submanifolds in such manifol…
Minimizing area among Lagrangian surfaces: the mapping problem
Richard Schoen, Jon G. Wolfson
This paper introduces a geometrically constrained variational problem for the area functional. We consider the area restricted to the langrangian surfaces of a Kaehler surface, or,…