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

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A Weierstrass type representation for minimal surfaces in Sol

Authors: Jun-ichi Inoguchi and Sungwook Lee
Journal: Proc. Amer. Math. Soc. 136 (2008), 2209-2216
MSC (2000): Primary 53A10, 53C15, 53C30
Published electronically: February 7, 2008
MathSciNet review: 2383527
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The normal Gauss map of a minimal surface in the model space $ \mathrm{Sol}$ of solvegeometry is a harmonic map with respect to a certain singular Riemannian metric on the extended complex plane.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 53A10, 53C15, 53C30

Retrieve articles in all journals with MSC (2000): 53A10, 53C15, 53C30

Additional Information

Jun-ichi Inoguchi
Affiliation: Department of Mathematics Education, Utsunomiya University, Utsunomiya, 321-8505, Japan

Sungwook Lee
Affiliation: Department of Mathematics, University of Southern Mississippi, Southern Hall, Box 5045, Hattiesburg, Mississippi 39406-5045

PII: S 0002-9939(08)09161-2
Keywords: Solvable Lie groups, minimal surfaces
Received by editor(s): September 26, 2006
Published electronically: February 7, 2008
Additional Notes: The first author was partially supported by Kakenhi 18540068
Dedicated: Dedicated to Professor Takeshi Sasaki on his 60th birthday
Communicated by: Chuu-Lian Terng
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia