Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ON THE SPECTRAL GEOMETRY FOR THE JACOBI OPERATORS OF HARMONIC MAPS INTO PRODUCT MANIFOLDS

  • Kang, Tae-Ho (Department of Mathematics University of Ulsan ) ;
  • Ki, U-Hang (Department of Mathematics Kyungpook National University) ;
  • Pak, Jin-Suk (Department of Mathematics Kyungpook National University )
  • Published : 1997.05.01
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Abstract

We investigate the geometric properties reflected by the spectra of the Jacobi operator of a harmonic map when the target manifold is a Riemannian product manifold or a Kaehlerian product manifold. And also we study the spectral characterization of Riemannian sumersions when the target manifold is $S^n \times S^n$ or $CP^n \times CP^n$.

Keywords

References

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