Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 33 Issue 3
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- Pages.477-480
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- 1996
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
Eigen 1-forms of the laplacian and riemannian submersions
- Park, Jeong-Hyeong (Department of Mathematiacs, Honam University, Kwangju 506-090)
- Published : 1996.08.01
Abstract
Let $\pi : Z \longrightarrow Y$ be a fiber bundle where Y and Z are compact Riemannian manifolds without boundary. We are primarily interested in the case where $\pi$ is a Riemannian submersion with minimal fibers; this is the case, for example, where Z is the sphere bundle of some vector bundle over Y or where Z is a principal bundle over Y.