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On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature - MaRDI portal

On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature (Q2845559)

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scientific article; zbMATH DE number 6203553
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On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature
scientific article; zbMATH DE number 6203553

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    On complete stable minimal surfaces in 4-manifolds with positive isotropic curvature (English)
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    2 September 2013
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    The main result of this report is the ``nonexistence of stable immersed minimal surfaces uniformly conformally equivalent to \(\mathbb C\) in any complete orientable 4-dimensional Riemannian manifold with uniformly positive isotropic curvature.'' The authors also generalize this nonexistence result to higher dimensions under certain conditions.
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