Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Some new examples of nonorientable minimal surfaces


Author: M. Elisa G. G. de Oliveira
Journal: Proc. Amer. Math. Soc. 98 (1986), 629-636
MSC: Primary 53A10
DOI: https://doi.org/10.1090/S0002-9939-1986-0861765-0
MathSciNet review: 861765
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The classical Henneberg's minimal surface (1875, [3, 4, 11]) was the unique nonorientable example known until 1981, when Meeks [6] exhibited the first example of a nonorientable, regular, complete, minimal surface of finite total curvature $ - 6\pi $.

In this paper, we study the nonorientable, regular, complete minimal surfaces of finite total curvature and give some examples of punctured projective planes regularly and minimally immersed in $ {{\mathbf{R}}^3}$ and $ {{\mathbf{R}}^n}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53A10

Retrieve articles in all journals with MSC: 53A10


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0861765-0
Article copyright: © Copyright 1986 American Mathematical Society