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In this paper we determine certain class of $n$-dimensional QR-submanifolds of maximal QR-dimension isometrically immersed in a quaternionic space form, that is, a quaternionic K$\ddot{a}$hler manifold of constant Q-sectional curvature under the conditions (3.1) concerning with the second fundamental form and the induced almost contact 3-structure.
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참고문헌 (13)
참고문헌 신청
A. Bejancu / 1986 / Geometry of CR-submanifolds / D. Reidel Publishing Company
B. Y. Chen / 1973 / Geometry of submanifolds / Marcel Dekker Inc
J. Erbacher / 1971 / Reduction of the codimension of an isometric immersion / J. Diff. Geom 5:333~340
S. Funabashi / 2003 / On the normality of an almost contact 3-structure on QR-submanifolds / Czecho. Math. J 53:571~589
S. Ishihara / 1974 / Quaternion Kaehlerian manifolds / J. Diff. Geom 9:483~500
B. Y. Chen / 1973 / Geometry of submanifolds / Marcel Dekker Inc
J. Erbacher / 1971 / Reduction of the codimension of an isometric immersion / J. Diff. Geom 5:333~340
S. Funabashi / 2003 / On the normality of an almost contact 3-structure on QR-submanifolds / Czecho. Math. J 53:571~589
S. Ishihara / 1974 / Quaternion Kaehlerian manifolds / J. Diff. Geom 9:483~500
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