QUATERNIONICALLY PROJECTIVE CORRESPONDENCE ON AN ALMOST QUATERNIONIC STRUCTURE

  • Ki, U-Hang (Department of Mathematics Kyungpook National University) ;
  • Pak, Jin-Suk (Department of Mathematics Kyungpook National University) ;
  • Yoon, Dae-Won (Department of Mathematics Kyungpook National University)
  • Published : 1998.11.01

Abstract

In the present paper, we introduce the notions of quaternionically planar curves and quaternionically projective transformations to the case of almost quaternionic manifold with symmetric affine connection. Also, we obtain an invariant tensor field under the quaternionically projective transformation, and show that a quaternionic Kahlerian manifold with such a vanishing tensor field is of constant Q-sectional curvature.

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