Stable 3-spheres in $\mathbb{C}^3$
| Autor: | Salavessa, Isabel M. C. |
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| Rok vydání: | 2011 |
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| Druh dokumentu: | Working Paper |
| Popis: | By only using spectral theory of the Laplace operator on spheres, we prove that the unit 3-dimensional sphere of a 2-dimensional complex subspace of $\mathbb{C}^3$ is a $\Omega$-stable submanifold with parallel mean curvature, when $\Omega$ is the K\"ahler calibration of rank 4 of $\mathbb{C}^3$. Comment: 15 pages. v3: We add a reference of a pioneer and fundamental work due to Frank Morgan, explain its relation in the introduction, correct some typos and English grammar |
| Databáze: | arXiv |
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