COMPLETE MINIMAL CYLINDERS PROPERLY IMMERSED IN THE UNIT BALL - Collections

＜departmental bulletin paper＞
COMPLETE MINIMAL CYLINDERS PROPERLY IMMERSED IN THE UNIT BALL

Creator	Creator Name Tokuomaru, Miki 徳王丸, 美紀 Affiliation Affiliation Name Graduate School of Mathematics, Kyushu University 九州大学大学院数理学研究院
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2007-09
Source Title	Kyushu Journal of Mathematics
Vol	61
Issue	2
First Page	373
Last Page	394
Publication Type	Version of Record
Access Rights	restricted access
Related DOI	isIdenticalTo https://doi.org/10.2206/kyushujm.61.373
Related DOI	Kyushu Journal of Mathematics \|\| 61(2) \|\| p373-394
Related DOI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI	Kyushu Journal of Mathematics \|\| 61(2) \|\| p373-394
Related URI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI
Related HDL
Relation	Kyushu Journal of Mathematics \|\| 61(2) \|\| p373-394
Relation	http://www2.math.kyushu-u.ac.jp/~kjm/
Abstract	The Calabi-Yau conjecture is one of the main problems in the global theory of complete minimal surfaces in $ mathbb{R}^3 $. Francisco Martin and Santiago Morales have constructed complete proper minim...al surfaces in convex bodies of $ mathbb{R}^3 $. In this paper, we modify their technique in the cylindrical case, and construct a complete minimal cylinder properly immersed in the unit ball.show more