Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds (Q457834)
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scientific article; zbMATH DE number 6349266
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds |
scientific article; zbMATH DE number 6349266 |
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Existence of immersed spheres minimizing curvature functionals in non-compact 3-manifolds (English)
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29 September 2014
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The authors focus on minimization of curvature functionals in three-dimensional Riemannian manifolds when the ambient space is non-compact. Specifically, they study the minimizers of the Willmore functional among immersed spheres in the three-dimensional Euclidean space. Then they deal with the minimization of related curvature functionals in non-compact three-dimensional Riemannian manifolds. Applications to general relativity are discussed.
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\(L^2\) second fundamental form
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Willmore functional
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direct methods in the calculus of variations
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geometric measure theory
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general relativity
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