Rigidity of minimal submanifolds in spheres in terms of higher fundamental forms (Q1330156)
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scientific article; zbMATH DE number 614385
| Language | Label | Description | Also known as |
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| English | Rigidity of minimal submanifolds in spheres in terms of higher fundamental forms |
scientific article; zbMATH DE number 614385 |
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Rigidity of minimal submanifolds in spheres in terms of higher fundamental forms (English)
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17 August 1994
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The author generalizes results of \textit{M. P. do Carmo} and \textit{N. R. Wallach} [Ann. Math., II. Ser. 93, 43-62 (1971; Zbl 0218.53069)] about rigidity and nonrigidity of minimal submanifolds in spheres. The author uses \(k\)th-order contact conditions that are based on higher-order fundamental torus and osculating spaces.
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minimal submanifolds in spheres
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contact conditions
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higher-order fundamental torus
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