Proc. Japan Acad. Ser. A Math. Sci. 76 (10), 168-172, (Dec. 2000) DOI: 10.3792/pjaa.76.168
Toshiaki Adachi, Sadahiro Maeda
KEYWORDS: Quaternionic Kähler manifolds, curvature tensor, quaternionic space forms, geodesic spheres, 53B25, 53C40
In this paper we give characterizations of quaternionic space forms in the class of quaternionic Kähler manifolds in terms of the curvature tensor and the extrinsic shape of geodesics on geodesic spheres.