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Masatoshi Kokubu & Masaaki Umehara & Kotaro Yamada |
Abstract |
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We investigate flat surfaces in hyperbolic 3-space with admissible singularities, called flat fronts. An Osserman-type inequality for complete flat fronts is shown. When equality holds in this inequality, we show that all the ends are embedded, and give new examples for which equality holds. |
Authors |
| Masatoshi Kokubu |
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Department of Natural Science School of Engineering Tokyo Denki University Chiyoda-Ku, Tokyo, 101-8457 Japan |
| Masaaki Umehara |
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Department of Mathematics Graduate School of Science Osaka University Toyonaka, Osaka 560-0043 Japan |
| Kotaro Yamada |
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Faculty of Mathematics Kyushu University Higashi-ku, Fukuoka 812-8581 Japan |
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Berkeley, California.