Sequences of minimal surfaces in \(S^{2n+1}\) (Q607870)
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scientific article; zbMATH DE number 5823100
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sequences of minimal surfaces in \(S^{2n+1}\) |
scientific article; zbMATH DE number 5823100 |
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Sequences of minimal surfaces in \(S^{2n+1}\) (English)
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6 December 2010
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For a minimal surface immersed into an odd-dimensional unit sphere \(S^{2n+1}\) with the first \((n-2)\) higher-order ellipses of curvature being a circle, the authors construct a sequence of such surfaces and study the problem of whether some two minimal surfaces in such a sequence can be congruent by an orientation-reversing isometry. This is a nicely written paper with elegant proofs of the individual results/constructions of surfaces.
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minimal surfaces
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orientation-reversing isometry
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curvature
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sphere
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ellipse
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minimal immersion
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conformal structure
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