Rigidity of minimal surfaces inS 3 |
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Authors: | Jayakumar Ramanathan |
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Affiliation: | (1) Dept. of Mathematics, University of Michigan, 48109 Ann Arbor, Michigan;(2) Present address: Dept. of Mathematics, University of Illinois, Champaign-Urbana, 1409 W. Green St., 61801 Urbana, IL |
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Abstract: | Isometric deformations of compact minimal surfaces in the standard three-sphere are studied. It is shown that a given surface admits only finitely many noncongruent minimal immersions intoS3 with the same first fundamental form. |
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