NORMAL HOLONOMY GROUP OF A RIEMANNIAN FOLIATIO $N^*$

  • Pak, Hong-Kyung (Department of Mathematics Graduate School, Kana-zawa University) ;
  • Pak, Jin-Suk (Department of Mathematics Teachers college, Kyungpook National University)
  • Published : 1993.02.01

Abstract

In this paper, we will discuss on the above problem for the case that .upsilon. is a Riemannian foliation. If .upsilon. is a Riemannian foliation on (M, g), we derive some basic relations between the curvature $R^{D}$ of the normal connection D and the curvature R of the Levi-Civita connection .del. on (M, g) (see Lemma 1).).