논문KCI 등재
Sectional curvature of contact $CR$-submanifolds of an odd-dimensional unit sphere
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Abstract
In this paper we study (n + 1)-dimensional compactcontact CR-submanifolds of (n -1) contact CR-dimension immersed in an odd-dimensional unit sphere S^{2m +1} . Especially weprovide necessary conditions in order for such a submanifold to be the generalized Cliord surface S^{2n_1 +1} (((2n_1 + 1) =(n + 1))1/2 ) S^{2n_2 +1} (((2n_2 + 1) =(n + 1))1/2 ) for some portion (n_1,n_2) of (n- 1)/2 in terms with sectional curvature.
참고문헌 (7)
- "Geometry of CR-submanifolds" (1986), D. Reidel Publishing Company
- "Geometry of submanifolds" (1973), Marcel Dekker Inc.
- "Reduction of the codimension of an isometric immersion", 5, pp.333~340 (1971)
- "On some contact CR-submanifolds of an odd-dimensional unit sphere", 26, pp.427~439 (2000)
- "Contact CR-submanifolds of an odd-dimensional unit sphere accepted in Geom. Dedicata."
- "Homogeneity and some curvature conditions for hypersurfaces", 21, pp.363~388 (1969)
- "CR submanifolds of Kaehlerian and Sasakian manifolds" (1983)
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