Mathematics – Differential Geometry
Scientific paper
2011-11-14
Mathematics
Differential Geometry
15 pages. v3: We add a reference of a pioneer and fundamental work due to Frank Morgan, explain its relation in the introducti
Scientific paper
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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