Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 32 Issue 1
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- Pages.13-18
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- 1995
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
HOLOMORPHIC SECTIONAL CURVATURE OF THE TANGENT BUNDLE$^*$
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Pak, Jin-Suk
(Department of Mathematics, Kyungpook National University)
;
- Pahk, Yoi-Sook (Department of Mathematics, Kyungpook National University) ;
- Kwon, Jung-Hwan (Department of Mathematics Education, Taegu University)
- Published : 1995.02.01
Abstract
In order to investigate the differential structure of a Riemannian manifold (M, g), it seems a powerful tool to study the differential structure of its tangent bundle TM. In this point of view, K. Aso [1] studied, using the Sasaki metric $\tilde{g}$, the relation between the curvature tensor on (M, g) and that on (TM, $\tilde{g}$).
Keywords