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In this paper we study $CR$-submanifolds of maximal $CR$-dimension by investigating extrinsic behaviors of integral curves of characteristic vector field on them. Also we consider the notion of ruled $CR$-submanifold of maximal $CR$-dimension which is a generalization of that of ruled real hypersurface and find some characterizations of ruled $CR$-submanifold of maximal $CR$-dimension concerning extrinsic shapes of integral curves of the characteristic vector field and those of $CR$-Frenet curves.
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참고문헌 (15)
참고문헌 신청
A. Bejancu / 1978 / CR-submanifolds of a K¨ahler manifold I / Proc. Amer. Math. Soc 69 (1) : 135 ~ 142
A. Bejancu / 1986 / Geometry of CR-Submanifolds / D. Reidel Publishing Company
B. Y. Chen / 1981 / CR-submanifolds of a K¨ahler manifold I / J. Differential Geom 16 (2) : 305 ~ 323
J.-H. Kwon / 1997 / CR-submanifolds of (n ? 1) CR-dimension in a complex projective space / Saitama Math. J 15 : 55 ~ 65
K. Yano / 1983 / CR submanifolds of Kaehlerian and Sasakian manifolds / Birkh¨auser
A. Bejancu / 1986 / Geometry of CR-Submanifolds / D. Reidel Publishing Company
B. Y. Chen / 1981 / CR-submanifolds of a K¨ahler manifold I / J. Differential Geom 16 (2) : 305 ~ 323
J.-H. Kwon / 1997 / CR-submanifolds of (n ? 1) CR-dimension in a complex projective space / Saitama Math. J 15 : 55 ~ 65
K. Yano / 1983 / CR submanifolds of Kaehlerian and Sasakian manifolds / Birkh¨auser
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