Bull. Korean Math. Soc. 2012; 49(5): 1089-1099
Printed September 30, 2012
https://doi.org/10.4134/BKMS.2012.49.5.1089
Copyright © The Korean Mathematical Society.
Juncheol Pyo
Pusan National University
We construct three kinds of complete embedded singly-peri\-odic minimal surfaces in $\Bbb H^2\times \Bbb R$. The first one is a 1-parameter family of minimal surfaces which is asymptotic to a horizontal plane and a vertical plane; the second one is a 2-parameter family of minimal surfaces which has a fundamental piece of finite total curvature and is asymptotic to a finite number of vertical planes; the last one is a 2-parameter family of minimal surfaces which fill $\Bbb H^2\times \Bbb R$ by finite Scherk's towers.
Keywords: complete minimal surface, singly-periodic surface, product space
MSC numbers: Primary 53C42; Secondary 53A35, 53C40
2007; 44(4): 841-849
2011; 48(2): 335-342
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd