Schwarz’ CLP-surfaces in $\textrm {Nil}_3$
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- by Heayong Shin, Young Wook Kim, Sung-Eun Koh, Hyung Yong Lee and Seong-Deog Yang
- Proc. Amer. Math. Soc. 147 (2019), 1677-1685
- DOI: https://doi.org/10.1090/proc/14214
- Published electronically: January 9, 2019
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Abstract:
We construct a two parameter family of complete embedded triply periodic minimal surfaces in $\textrm {Nil}_3$, which are the analogues of the three parameter family of the Schwarz’ CLP-surfaces in the Euclidean three space.References
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Bibliographic Information
- Heayong Shin
- Affiliation: Department of Mathematics, Chung-Ang University, 06974, Seoul, Korea, — and — Korea Institute for Advanced Study, 20455, Seoul, Republic of Korea
- MR Author ID: 324685
- Email: hshin@cau.ac.kr
- Young Wook Kim
- Affiliation: Department of Mathematics, Korea University, 02841, Seoul, Republic of Korea
- MR Author ID: 246496
- Email: ywkim@korea.ac.kr
- Sung-Eun Koh
- Affiliation: Department of Mathematics, Konkuk University, 05209, Seoul, Republic of Korea
- MR Author ID: 243550
- Email: sekoh@konkuk.ac.kr
- Hyung Yong Lee
- Affiliation: Department of Mathematics, Korea University, 02841, Seoul, Republic of Korea
- MR Author ID: 709951
- Email: distgeo@korea.ac.kr
- Seong-Deog Yang
- Affiliation: Department of Mathematics, Korea University, 02841, Seoul, Republic of Korea
- Email: sdyang@korea.ac.kr
- Received by editor(s): February 6, 2018
- Received by editor(s) in revised form: April 20, 2018
- Published electronically: January 9, 2019
- Additional Notes: The first author was supported by NRF 2014R1A2A2A01007324, the Chung-Ang University Research Grant in 2017.
The third author was supported by NRF 2014R1A1A2002058, NRF 2017R1D1A1B03029013.
The fifth author was supported by NRF 2012-042530, NRF 2017R1E1A1A03070929. - Communicated by: Jia-Ping Wang
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 1677-1685
- MSC (2010): Primary 53A35
- DOI: https://doi.org/10.1090/proc/14214
- MathSciNet review: 3910432
Dedicated: To the memory of Professor Robert Gulliver