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Flat fronts in
hyperbolic 3-space
Masatoshi Kokubu, Masaaki Umehara and Kotaro Yamada |
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Vol. 216 (2004), No. 1, 149–175
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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. |
Milestones
Received: 21 January 2003
Revised: 4 September 2003
Published: 1 September 2004
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Authors |
| Masatoshi Kokubu | |
| Department of Natural Science School of Engineering Tokyo Denki University Chiyoda-Ku, Tokyo, 101-8457 Japan |
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| Masaaki Umehara | |
| Department of Mathematics Graduate School of Science Osaka University Toyonaka, Osaka 560-0043 Japan |
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| Kotaro Yamada | |
| Faculty of Mathematics Kyushu University Higashi-ku, Fukuoka 812-8581 Japan |
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