# HOLOMORPHIC SECTIONAL CURVATURE OF THE TANGENT BUNDLE$^*$

• 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, $\tilde{g}$).