Dergiler / Hacettepe Bulletin of Natural Sciences and Engineering Series B / Mathematics and Statistics / 1999 / Cilt: 28 - Sayı:
On some properties of distributions in QR-submanifolds
- Sayfa
- 15–23
- DOI
- —
Abstract
In this paper the holomorphic bisectional curvature of a QR-Submanifold of a quaternion Kaehler manifolds is obtained. Using the definition of an in-finitesimal automorphism for quaternion Kaehler manifolds, it is shown that a quaternion distribution is involutive and that its leaves are total geodesic in QR-submanifolds. Moreover a criterion is given for anti-invariant distri-butions in QR-submanifolds.