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Spectral decomposition of spherical immersions with respect to the Jacobi operator

Published online by Cambridge University Press:  18 May 2009

J. Arroyo ,
M. Barros  and
O. J. Garay
J. Arroyo
Affiliation:
Departamento De Matemáticas, Universidad Del PaíS Vasco/Ehu, Apto 644. 48080 Bilbao, Spain
M. Barros
Affiliation:
Departamento De Geometría Y Topología, Universidad De Granada, 8071 Granada, Spain
O. J. Garay
Affiliation:
Departamento De Matemáticas, Universidad Del PaíS Vasco/Ehu, Apto 644. 48080 Bilbao, Spain
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Abstract

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We study the spectral decomposition with respect to the Jacobi operator, J, of spherical immersions and characterize those with a simple decomposition in terms of the Finite Chen-type submanifolds. As a consequence, we give an application to the inverse problem for J.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 40 , Issue 2 , May 1998 , pp. 205 - 212
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

References

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