Proceedings of the American Mathematical Society

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

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
MathSciNet review: 1929050
Retrieve article in: PDF
This article is available free of charge

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

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|