@article{oai:ynu.repo.nii.ac.jp:00007001, author = {Tanabe, Hiromasa}, issue = {1}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, In a quaternionic Kahler manifold $M$ , we introduce a notion of quaternionic Frenet curves on $M$ which is closely related to the quaternionic Kahler structure of $M$ and give a chracterization of totally geodesic immersions of $M$ into an ambient real space form $¥overline{M}^{N}(¥overline{c};¥mathbb{R})$ of constant sectional curvature $¥overline{c}$ by the extrinsic shape of such curves.}, pages = {1--10}, title = {QUATERNIONIC FRENET CURVES AND TOTALLY GEODESIC IMMERSIONS}, volume = {52}, year = {2005} }