Flatness of CR submanifolds in a sphere |
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| Authors: | JI ShanYu & YUAN Yuan |
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| Institution: | JI ShanYu 1,& YUAN Yuan 2 1 Department of Mathematics,University of Houston,Houston,TX 77204,USA,2 Department of Mathematics,Rutgers University,Piscataway,NJ 08854 |
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| Abstract: | In Euclidean geometry, for a real submanifold M in E n+a , M is a piece of E n if and only if its second fundamental form is identically zero. In projective geometry, for a complex submanifold M in CP n+a , M is a piece of CP n if and only if its projective second fundamental form is identically zero. In CR geometry, we prove the CR analogue of this fact in this paper. |
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| Keywords: | CR submanifolds sphere CR second fundamental form proper holomorphic mappings between balls |
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