Proceedings of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-6826 (e) ISSN 0002-9939 (p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues Previous Article \| Next Article

Existence of algebraic minimal surfaces for an arbitrary puncture set

Author(s): Katsuhiro Moriya
Journal: Proc. Amer. Math. Soc. 131 (2003), 303-307.
MSC (2000): Primary 53A10
Posted: June 12, 2002
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We will show that any punctured Riemann surface can be conformally immersed into a Euclidean -space as a branched complete minimal surface of finite total curvature called an algebraic minimal surface.

References:

1.: K. Moriya, On a variety of algebraic minimal surfaces in Euclidean -space, Tokyo J. Math. 21 (1998), no. 1, 121-134. MR 99h:53010
2.: -, Deformations of complete minimal surfaces of genus one with one end and finite total curvature, preprint.
3.: K. Yang, Complete minimal surfaces of finite total curvature, Kluwer Academic Publishers Group, Dordrecht, 1994. MR 96d:53009


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS