Honam Mathematical Journal (호남수학학술지)

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A NOTE ON THE JACOBI FIELDS ON MANIFOLDS

  • Received : 2016.01.27
  • Accepted : 2016.05.11
  • Published : 2016.06.25
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Abstract

We consider Jacobi filds as the first derivatives for ${\varepsilon}$, the energy of harmonic extensions, in a given manifold. In this paper we see that the Jacobi fild is bounded by the given boundary map. Here we give no restriction concerned with the curvature for the given manifold.

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References

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Cited by

  1. Morse theory for minimal surfaces in manifolds vol.54, pp.2, 2018, https://doi.org/10.1007/s10455-018-9601-9