arXiv Open Access 2013

Approximation theory for non-orientable minimal surfaces and applications

Antonio Alarcon Francisco J. Lopez

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Abstrak

We prove a version of the classical Runge and Mergelyan uniform approximation theorems for non-orientable minimal surfaces in Euclidean 3-space R3. Then, we obtain some geometric applications. Among them, we emphasize the following ones: 1. A Gunning-Narasimhan type theorem for non-orientable conformal surfaces. 2. An existence theorem for non-orientable minimal surfaces in R3, with arbitrary conformal structure, properly projecting into a plane. 3. An existence result for non-orientable minimal surfaces in R3 with arbitrary conformal structure and Gauss map omitting one projective direction.

Topik & Kata Kunci

math.DG math.CV

Penulis (2)

Antonio Alarcon

Francisco J. Lopez

Format Sitasi

APA MLA BibTeX

Alarcon, A., Lopez, F.J. (2013). Approximation theory for non-orientable minimal surfaces and applications. https://arxiv.org/abs/1307.2399

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓