SOME CURVATURE CONDITIONS OF n-DIMENSIONAL QR-SUBMANIFOLDS OF (p-1) QR-DIMENSION IN A QUATERNIONIC PROJECTIVE SPACE QP(n+p)/4

• Pak, Jin-Suk (Department of Mathematics, Kyungpook National University) ;
• Sohn, Won-Ho (Department of Mathematics, Pusan University of Foreign Studies)
• Published : 2003.11.01

Abstract

The purpose of this paper is to study n-dimensional QR-submanifolds of (p - 1) QR-dimension in a quaternionic projective space $QP^{(n+p)/4}$ and especially to determine such submanifolds under the curvature conditions appeared in (5.1) and (5.2).

References

1. Geometry of CR-submanifolds A.Bejancu
2. Geometry of submanifolds B.Y.Chen
3. Kodai Math. Sem. Rep. v.25 Quaternion Kaehlerian manifolds and fibred Riemannian spaces with Sasakian 3-structure S.Ishihara https://doi.org/10.2996/kmj/1138846820
4. J. Diff. Geom. v.9 Quaternion Kaehlerian manifolds S.Ishihara
5. Differential Geometry in Honor of K. Yano Fibred Riemannian spaces with Sasakian 3-structure S.Ishihara;M.Konishi
6. Tohoku Math. J. v.22 On almost contact 3-structure Y.Y.Kuo https://doi.org/10.2748/tmj/1178242759
7. Taiwan J. of Math. v.2 On the distribution appeared in contact 3-structure Y.Y.kuo;S.Tachibana
8. Saitama Math. J. v.17 Scalar curvature of QR-submanifolds immersed in a aquaternionic projective space J.H.Kwon;J.S.Pak
9. Acta Math. Hungar. v.86 QR-submanifolds of (p-1) QR-dimension in a quaternionic projective space $QP^ {(n+p)/4}$ J.H.Kwon;J.S.Pak https://doi.org/10.1023/A:1006795518714
10. J. Diff. Geom. v.4 Rigidity theorems in rank-1 symmetric spaces H.B.Lawson
11. Ann. Mat. Pura Appl. v.145 Real hypersurfaces in quaternionic projective space A.Martinez;J.D.Perez https://doi.org/10.1007/BF01790548
12. Rend. Circ. Mat. Palermo v.43 no.2 n-dimensional real submanifolds with (n-1)-dimensional maximal holomorphic tangent subspace in complex projective spaces M.Okumura;L.Vanhecke https://doi.org/10.1007/BF02844840
13. Michigan Math. J. v.13 The fundational equations of a submersion B.O'Neill https://doi.org/10.1307/mmj/1028999604
14. Kodai Math. Sem. Rep. v.29 Real hypersurfaces in quaternionic Kaehlerian manifolds with constant Q-sectional curvature J.S.Pak https://doi.org/10.2996/kmj/1138833571
15. QR-submanifolds of(p-1) QR-dimension in a quaternionic projective space $QP^ {(n+p)/4}$ under some curvature conditions J.S.Pak
16. Bull. Korean Math. Soc. v.38 Some curvature conditions of n-dimensional CR-submanifolds of(n-1) CR-dimension in a complex projective space J.S.Pak;W.H.Sohn
17. Kyungpook Math. J. v.25 On pseudo-Einstein real hypersurfaces in the quaternionic projective space J.D.Perez;F.G.Santos
18. J. Geom. v.40 On real hypersurfaces with harmonic curvature of a quaternionic projective space J.D.Perez;F.G.Santos https://doi.org/10.1007/BF01225882
19. Kodai Math. J. v.1 Real submanifolds in a quaternionic projective space Y.Shibuya https://doi.org/10.2996/kmj/1138035651
20. Commun. Korean Math. Soc. v.16 no.2 Some curvature conditions of n-dimensional CR-submanifolds of (n-1) CR-dimension in a complex projective space Ⅱ W.H.Sohn
21. Hiroshima Math. J. v.18 Almost complex and almost contact structures in fibred Riemannian spaces Y.Tashiro;B.H.Kim
22. Kodai Math. Sem. Rep. v.19 Fibred space with invariant Riemannian metric K.Yano;S.Ishihara https://doi.org/10.2996/kmj/1138845440

Cited by

1. QR-Submanifolds of(p−1) QR-Dimension in a Quaternionic Projective SpaceQP(n+p)/4under Some Curvature Conditions vol.2013, 2013, https://doi.org/10.1155/2013/193697