본문 바로가기
KERD
논문KCI 등재

Real n-dimensional QR-submanifolds of maximal QR-dimension immersed in QP^{(n+p)/4}

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

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)

  1. M. Barros, "Quaternion CR-submanifolds of a quaternion manifolds", Kodai Math. J., 4, pp.399~418 (1981)
  2. A. Bejancu, "Geometry of CR-submanifolds" (1986), D. Reidel Publishing Company
  3. J. Erbacher, "Reduction of the codimension of an isometric immersion", J. Diff. Geom., 5, pp.333~340 (1971)
  4. S. Ishihara, "Quaternion Kaehlerian manifolds", J. Diff. Geom., 9, pp.483~500 (1974)
  5. S. Ishihara, "Differential geometry of fibred spaces" (1973), Publication of the study group of geometry
  6. J.-H. Kwon, "QR-submanifolds of (p-1) QR-dimension in a quaternionic projective space QP(n+p)", 4, 2000, pp.86, 89~116
  7. J.-H. Kwon, "Codimension reduction for real submanifolds of quaternionic projective space", J. Korean Math. Soc., 36(1), pp.109~123 (1999)
  8. J.-H. Kwon, "Scalar curvature of QR-submanifolds immersed in a quaternionic projective space", Saitama Math. J., 17, pp.47~57 (1999)
  9. 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)
  10. H. B. Lawson, Jr., "Rigidity theorems in rank-1 symmetric spaces", J. Diff. Geom., 4, pp.349~357 (1970)
  11. A. Martinez, "Real hypersurfaces in quaternionic projective space", Ann. Mat. Pura Appl., 145, pp.355~384 (1986)
  12. J. S. Pak, "Real hypersurfaces in quaternionic Kaehlerian manifolds with constant Q-sectional curvature", Kodai Math. Sem. Rep., 29, pp.22~61 (1977)

관련 논문AI추천

이 간행물의 다른 논문 (12건)