논문KCI 등재
Real n-dimensional QR-submanifolds of maximal QR-dimension immersed in QP^{(n+p)/4}
대한수학회 (The Korean Mathematical Society)|2009.01|대한수학회논문집 (Communications of the KMS)|제24권 제1호|pp. 111-125
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초록
The purpose of this paper is to study n-dimensional QR-submanifolds of (p-1) QR-dimension immersed in a quaternionic projective space QP^{(n+p)/4} of constant Q-sectional curvature 4 and especially to determine such submanifolds under the additional condition concerning with shape operator.
Abstract
The purpose of this paper is to study n-dimensional QR-submanifolds of (p-1) QR-dimension immersed in a quaternionic projective space QP^{(n+p)/4} of constant Q-sectional curvature 4 and especially to determine such submanifolds under the additional condition concerning with shape operator.
참고문헌 (12)
- M. Barros, "Quaternion CR-submanifolds of a quaternion manifolds", Kodai Math. J., 4, pp.399~418 (1981)
- A. Bejancu, "Geometry of CR-submanifolds" (1986), D. Reidel Publishing Company
- J. Erbacher, "Reduction of the codimension of an isometric immersion", J. Diff. Geom., 5, pp.333~340 (1971)
- S. Ishihara, "Quaternion Kaehlerian manifolds", J. Diff. Geom., 9, pp.483~500 (1974)
- S. Ishihara, "Differential geometry of fibred spaces" (1973), Publication of the study group of geometry
- J.-H. Kwon, "QR-submanifolds of (p-1) QR-dimension in a quaternionic projective space QP(n+p)", 4, 2000, pp.86, 89~116
- J.-H. Kwon, "Codimension reduction for real submanifolds of quaternionic projective space", J. Korean Math. Soc., 36(1), pp.109~123 (1999)
- J.-H. Kwon, "Scalar curvature of QR-submanifolds immersed in a quaternionic projective space", Saitama Math. J., 17, pp.47~57 (1999)
- J.-H. Kwon, "n-dimensional CR-submanifolds of (n-1) CR- dimension immersed in a complex space form", Far East J. of Math. Sci., Special(part III), pp.347~360 (1999)
- H. B. Lawson, Jr., "Rigidity theorems in rank-1 symmetric spaces", J. Diff. Geom., 4, pp.349~357 (1970)
- A. Martinez, "Real hypersurfaces in quaternionic projective space", Ann. Mat. Pura Appl., 145, pp.355~384 (1986)
- J. S. Pak, "Real hypersurfaces in quaternionic Kaehlerian manifolds with constant Q-sectional curvature", Kodai Math. Sem. Rep., 29, pp.22~61 (1977)
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