Self-intersections of Closed Parametrized Minimal Surfaces in Generic Riemannian Manifolds
نویسنده
چکیده
This article shows that for a generic choice of Riemannian metric on a compact manifold M of dimension at least five, all prime compact parametrized minimal surfaces within M are imbeddings. Moreover, if M has dimension four, all prime compact parametrized minimal surfaces within M have transversal self-interstions, and at any self-intersection the tangent planes fail to be complex for any choice of orthogonal complex structure in the tangent space.
منابع مشابه
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