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Constant curved minimal CR 3-spheres in CPn

Published online by Cambridge University Press:  09 April 2009

Zhen-Qi Li*
Affiliation:
Department of MathematicsNanchang UniversityNanchang 330047 P. R. ofChina
An-Min Huang
Affiliation:
Department of MathematicsNanchang Univeristy, Nanchang 330047 P. R.China e-mail: [email protected]
*
Lab. of Math. for Nonlinear Sciences Fudan University Shanghai 200433 P. R. of China e-mail: [email protected]
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2005

References

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