Exotic Minimal Surfaces

Francisco J. Lopez

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arXiv · 1004.2656

Exotic Minimal Surfaces

Francisco J. Lopez

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Abstract

We prove a general fusion theorem for complete orientable minimal surfaces in $\mathbb{R}^3$ with finite total curvature. As a consequence, complete orientable minimal surfaces of weak finite total curvature with exotic geometry are produced. More specifically, universal surfaces (i.e., surfaces from which all minimal surfaces can be recovered) and space-filling surfaces with arbitrary genus and no symmetries.

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BibTeX RIS

Francisco J. Lopez. 2010-04-15. Exotic Minimal Surfaces. https://arxiv.org/abs/1004.2656

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