• Title/Summary/Keyword: absolute or relative boundary problem

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NOTES ON VANISHING THEOREMS ON RIEMANNIAN MANIFOLDS WITH BOUNDARY

  • Kitahara, Haruo;Pak, Hong-Kyung
    • Journal of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.831-841
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    • 1998
  • We shall discuss on some vanishing theorems of harmonic sections of a Riemannian vector bundle over a compact Riemannian manifold with boundary. In relating the results of H. Donnelly - P. Li ([4]), for special case of harmonic forms satisfying absolute or relative boundary problem, our results improve the vanishing results of T. Takahashi ([9]).

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