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math.DG2011
Stable 3-spheres in
Isabel M. C. Salavessa
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 is a -stable…
math.DG2011
Cauchy-Riemann inequalities on 2-spheres of
Isabel M. C. Salavessa
We prove that an integral Cauchy-Riemann inequality holds for any pair of smooth functions on the 2-sphere , and equality holds iff and are related $λ…