Existence of a family of complete minimal surfaces of genus one with one end and finite total curvature

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  • Differential Geometry : Proceedings of the First Intenational Symposiumu on Differential Geometry, February 22-24, 2001 Josai University

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We will report our recent result on existence of a complex one-parameterfamily of complete minimal surfaces of genus one with one end and finitetotal curvature. The family connects a minimal surface with total curvature -12πand that with total curvature less than -12π.

Differential Geometry : Proceedings of the First Intenational Symposiumu on Differential Geometry, February 22-24, 2001 Josai University, edited by Qing-Ming Cheng.

identifier:JOS-KJ00000229304

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