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On square integrability of mean curvature for surfaces with positive Gaussian curvature |
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| Authors: | Ulrich Bunke Marcus Kriele |
| Affiliation: | (1) Fachbereich Mathematik, Ernst-Moritz-Arndt-Universität, Ludwig-Jahn-Str. 15a, O-2200 Greifswald, Bundesrepublik Deutschland;(2) Fachbereich Mathematik (Ma 8-3), Technische Universität Berlin, Str. des 17. Juni 136, W-1000 Berlin 12, Bundesrepublik Deutschland;(3) Present address: Department of Pure Mathematics, University of Waterloo, N2L3GI Waterloo, Ontario, Canada |
| Abstract: | We show that {ie319-1} H2dµ =  for any complete surface M  R3 which has positive curvature outside a compact subset of R3. This proves a conjecture of Friedrich. |
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