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Constant curved minimal CR 3-spheres in CPn
Published online by Cambridge University Press: 09 April 2009
Abstract
In this paper we prove that minimal 3-spheres of CR type with constant sectional curvature c in the complex projective space CPn are all equivariant and therefore the immersion is rigid. The curvature c of the sphere should be c = 1/(m2-1) for some integer m≥ 2, and the full dimension is n = 2m2-3. An explicit analytic expression for such an immersion is given.
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- Research Article
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- Copyright © Australian Mathematical Society 2005
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