The Willmore conjecture for immersed tori with small curvature integral |
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| Authors: | B. Ammann |
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| Affiliation: | Mathematisches Institut, Universit?t Freiburg, Eckerstr. 1, 79104 Freiburg, Germany. E-mail: ammann@mathematik.uni-freiburg.de, DE
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| Abstract: | The Willmore conjecture states that any immersion of a 2-torus into euclidean space satisfies . We prove it under the condition that the L p -norm of the Gaussian curvature is sufficiently small. Received: 10 June 1999 |
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| Keywords: | Mathematics Subject Classification (1991):Primary 53A05 Secondary 53A30, 58G30 |
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