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Spherical submanifolds with special quadric representations

Published online by Cambridge University Press:  17 April 2009

Jitan Lu
Jitan Lu
Affiliation:
Division of MathematicsNational Institute of EducationNanyang Technological UniversitySingapore 259756 e-mail: NF2363833U@AC AD21.NTU.EDU.SG
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Abstract

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In this paper, we study submanifolds in the unit hypersphere satisfying where is the quadric representation of the submanifold, and B and C are two constant matrices. We prove that the totally geodesic submanifolds are the only submanifolds in the unit hypersphere whose quadric representations satisfy

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 2 , April 1998 , pp. 295 - 303
Copyright
Copyright © Australian Mathematical Society 1998

References

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