Stable 3-spheres in $\mathbb{C}^3$

Isabel M. C. Salavessa

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arXiv · 1111.3287

Stable 3-spheres in $\mathbb{C}^3$

Isabel M. C. Salavessa

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Abstract

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 $\mathbb{C}^3$.

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BibTeX RIS

Isabel M. C. Salavessa. 2011-11-14. Stable 3-spheres in $\mathbb{C}^3$. https://arxiv.org/abs/1111.3287

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