Corrections to "Extremal disks and extremal surfaces of genus three"

Kodai Mathematical Journal

Gou Nakamura¹ 

[1] Science Division, Center for General Education Aichi Institute of Technology

关键词: extremal disk;    extremal surface;    the group of automorphisms;    hyperelliptic surface;    Weierstrass point;   

DOI  :  10.2996/kmj/1404393899

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(3)We correct a result in "Extremal disks and extremal surfaces of genus three", Kodai Math. J. 28, no. 1 (2005), 111-130. In the paper we have shown that there exist 16 compact Riemann surfaces of genus three up to conformal equivalence in which two extremal disks are isometrically embedded. However we have three more of them up to conformal equivalence. In the present paper we give these three surfaces and show that they are hyperelliptic. We also determine the groups of automorphisms of them.

【 授权许可】

Unknown