Generic properties of minimal surfaces
Antonio Alarcón Universidad de Granada
We shall discuss some properties of minimal surfaces in Euclidean space which hold generically in Baire category sense. Based on joint work with Francisco J. López.
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We shall discuss some properties of minimal surfaces in Euclidean space which hold generically in Baire category sense. Based on joint work with Francisco J. López.
A complex manifold is called an Oka manifold if every holomorphic map from a convex set in a Euclidean space to the manifold is a limit of entire maps. We show that every Oka manifold admits families of noncompact complex curves of any given topological type, endowed with a prescribed family of conformal structures, with approximation on compact Runge subsets. A similar result holds for families of minimal surfaces and null holomorphic curves in Euclidean spaces.
Despacho: 4 (Dto. Geometría y Topología)
This activity is supported by the research projects EUR2024.153556, PID2023-150727NB-I00, , PID2023-151060NB-I00, PID2022-142559NB-I00, CNS2022-135390 CONSOLIDACION2022, PID2020-118137GB-I00, PID2020-117868GB-I00, PID2020-116126GB-I00.