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The normal curvature of totally real submanifolds of S6(1)
Published online by Cambridge University Press: 18 May 2009
Abstract
We prove the pointwise inequality 0 ≥ ρ + ρ⊥ – 1 involving the normalized scalar curvature ρ and normal scalar curvature ρ⊥ of a totally real 3-dimensional submanifold of the nearly Kaehler 6-sphere. Further we classify submanifolds realizing the equality in this inequality.
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- Copyright © Glasgow Mathematical Journal Trust 1998
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