Mass minimizing submanifolds with respect to some Riemannian metrics (Q1309181)
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scientific article; zbMATH DE number 469052
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mass minimizing submanifolds with respect to some Riemannian metrics |
scientific article; zbMATH DE number 469052 |
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Mass minimizing submanifolds with respect to some Riemannian metrics (English)
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12 March 1995
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The author characterizes mass-minimizing submanifolds with respect to some Riemannian metrics using techniques developed by \textit{R. Harvey} and \textit{H. B. Lawson jun.} [Am. J. Math. 104, 607-633 (1981; Zbl 0508.57021)] and \textit{D. Sullivan} [Comment. Math. Helv. 54, 218-223 (1979; Zbl 0409.57025)]. He proves that if a compact, oriented manifold \(M\) is embedded in \(X\) is different from 0, then there exists a Riemannian metric \(g\) on \(X\) such that \(M\) is mass minimizing in its real homology class with respect to \(g\). Also equivariant versions of the above result are considered.
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mass-minimizing submanifolds
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homology class
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0.90226936
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0.90070075
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0.8993931
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0.89808947
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