NULLITY DISTRIBUTION ON THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD

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Published: Jun 1, 1999
DOI: https://doi.org/10.5556/j.tkjm.30.1999.4211
Keywords:
Nullity distribution tangent bundles

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WEE-KEONG LIM
Universiti Telekom, Jalan Ayer Keroh Lama, Bukit Beruang, 75450, Melaka, Malaysia.

Abstract




The nullity distribution on the tangent bundle of a Riemannian manifold is studied. The vetical and complete lifts of a vector fileld belonging to the nullity distribution on the base manifold are show to be in the nullity distribution on the tangent bundle. Under certain regularity assumption, the dimension of the nullity distribution on the tangent bundle of a Riemannian manifold is found to be twice that of the nullity distribution on the base manifold.




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How to Cite
LIM, W.-K. (1999). NULLITY DISTRIBUTION ON THE TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD. Tamkang Journal of Mathematics, 30(2), 85–91. https://doi.org/10.5556/j.tkjm.30.1999.4211
Issue
Vol. 30 No. 2 (1999)
Section
Papers
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References

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Sin-Leng Tan, On nullity distributions, Trans. Amer. Math. Soc. 223(1976), 323-335.

Kentaro Yano and Shigeru Ishihara, Tangent and Cotangent Bundles, Marcel Dekker, New York, 1973.