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Article Dans Une Revue Communication in analysis and geometry Année : 1999

Bridge principle for constant and positive Gauss curvature surfaces

Résumé

We apply Schauder fixed point theorem and gluing method to construct positive constant Gauss curvature K surfaces. Let S_1 and S_2, two stable K surfaces and a path \gamma connecting the two surfaces, we can find a new K surface arbitrarly close two S_1US_2U\gamma.
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Dates et versions

hal-00795392 , version 1 (28-02-2013)

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  • HAL Id : hal-00795392 , version 1

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Laurent Hauswirth. Bridge principle for constant and positive Gauss curvature surfaces. Communication in analysis and geometry, 1999, 7 (3), pp.497-550. ⟨hal-00795392⟩
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