Journal of the Korean Mathematical Society (대한수학회지)
- Volume 35 Issue 4
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- Pages.831-841
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- 1998
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
NOTES ON VANISHING THEOREMS ON RIEMANNIAN MANIFOLDS WITH BOUNDARY
- Kitahara, Haruo (Department of Mathematics Kanazawa University) ;
- Pak, Hong-Kyung (Department of Mathematics Kyungsan University)
- Published : 1998.11.01
Abstract
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]).