Complex analytic curves and maximal surfaces |
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| Authors: | K. Abe M. A. Magid |
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| Affiliation: | (1) Department of Mathematics, University of Connecticut, 06268 Storrs, CT, USA;(2) Department of Mathematics, Wellesley College, 02181 Wellesley, MA, USA |
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| Abstract: | Maximal immersions of a surfaceM2 inton-dimensional Lorentz space which are isometric to a fixed holomorphic mapping ofM2 into complex Lorentz space are determined. The main tool is an adaption of Calabi's Rigidity Theorem. Such an adaption is necessary because of the existence of degenerate hyperplanes in complex Lorentz space.Partially supported by a grant from Wellesley College. |
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