IJPAM: Volume 99, No. 3 (2015)

ON TRANSLATION SURFACES WITH
ZERO GAUSSIAN CURVATURE IN $H^2 \times R$

Dae Won Yoon
Department of Mathematics Education and RINS
Gyeongsang National University
Jinju, 660-701, REPUBLIC OF KOREA


Abstract. In this paper, we study translation surfaces in the product space $H^2 \times R$ and classify translation surfaces with zero Gaussian curvature in $H^2 \times R$.

Received: October 23, 2014

AMS Subject Classification: 53C30

Key Words and Phrases: Riemannian product space, Gaussian curvature, translation surface, flat surface

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DOI: 10.12732/ijpam.v99i3.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 99
Issue: 3
Pages: 289 - 297


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