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A minimizing deformation of Legendrian submanifolds in the standard sphere - MaRDI portal

A minimizing deformation of Legendrian submanifolds in the standard sphere (Q1886839)

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scientific article; zbMATH DE number 2116889
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A minimizing deformation of Legendrian submanifolds in the standard sphere
scientific article; zbMATH DE number 2116889

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    A minimizing deformation of Legendrian submanifolds in the standard sphere (English)
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    19 November 2004
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    The author proposes a method to find new examples of minimal Legendrian submanifolds in the standard contact sphere. More precisely, he shows how such examples can be constructed once a certain equation for a function on a nearby glued Legendrian submanifold is solved. The author then suggests to find solutions for this equation via a certain gradient flow. As a first step twoards doing so, he finally proves its short time existence.
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    minimal Legendrian submanifolds
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