Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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On the Property of Harmonic Vector Field on the Sphere S2n+1

  • Han, Dongsoong (Department of Mathematics, JeonJu University)
  • Published : 2003.07.30
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Abstract

In this paper we study the property of harmonic vector fields. We call a vector fields ${\xi}$ harmonic if it is a harmonic map from the manifold into its tangent bundle with the Sasaki metric. We show that the characteristic polynomial of operator $A={\nabla}{\xi}\;in\;S^{2n+1}\;is\;(x^2+1)^n$.

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References

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