Journal of the Korean Mathematical Society (대한수학회지)
- Volume 35 Issue 4
- /
- Pages.855-867
- /
- 1998
- /
- 0304-9914(pISSN)
- /
- 2234-3008(eISSN)
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.
Keywords
- almost quaternionic manifold;
- quaternionic projective transformation;
- quaternionic Kaherian manifold