On submersion and immersion submanifolds of a quaternionic projective space
By: Esmail Abedi and Zahra Nazari
References
- [1] A. Barros, B. Y. Chen, F. Urbano, Quaternion CR-submanifolds of a quaternion manifold, Kodai Math. J., 4 (1981), 399–418.
- [2] A. Bejancu, Geometry of CR-submanifolds, D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1986.
- [3] J. Berndt, Real hypersurfaces in quaternionic space forms, J. Reine Angew Math., 419 (1991), 9–26.
- [4] D. E. Blair, B. Y. Chen, On CR-submanifolds of hermitian manifolds, Isread J. Math., 34 (1979), 353–363.
- [5] B. Y. Chen, Geometry of submanifolds, Marcel Dekker Inc., New York, 1973.
- [6] B. Y. Chen, CR-submanifolds of Kaher manifold, J. Differential Geom., 16 (1981), 305–323.
- [7] M. Djoric, M. Okumura, Certain application of an integral formula to CR submanifold of complex projective space, Publ. Math. Debrecen, 62 (2003), 213–225.
- [8] M. Djoric, M. Okumura, CR submanifolds of complex projective space, Springer, vol 19 (2010).
- [9] H. B. Lawson, Rigidity theorems in rank-1 symmetric spaces, J. Diff. Geom., 4 (1970), 349–357.
- [10] A. Martinez, J. D. Perez, Real hypersurfaces in quaternionic projective space, Ann. Mat. Pura Appl., 145 (1986), 355–384.
- [11] S. Ishihara, Quaternion Kaehlerian manifolds, J. Differential Geom., 9 (1974), 483–500.
- [12] S. Ishihara, Differential geometry of fibred spaces, Publication of the study group of geometry, vol. 8, Tokyo, 1973.
- [13] H. S. Kim, J. S. Pak, QR-submanifolds of maximal QR-dimension in quaternionic projective space, J. Korean Math. Soc, 42 (2005), 655–672.
- [14] J. -H. Kwon, J. S. Pak, Scalar curvature of QR-submanifolds immersed in a quaternionic projective space, Saitama Math. J., 17 (1999), 89–116.
- [15] K. Kenmotsu, A class of almost Contact Riemannian manifolds, Tohoku Math. J., 24 (1972), 93–103.
- [16] J. H. Kwon, J. S. Pak, QR-submanifolds of (p − 1) QR-dimension in a quaternionic projective space
${\rm{QP}}{{({\rm{n}} + {\rm{p}})} \over 4}$ - [17] J. D. Perez, F. G. Santos, On pseudo-Einstein real hypersurfaces in the quaternionic projective space, Kyungpook Math. J., 25 (1985), 15–28.
- [18] J. S. Pak, Real hypersurfaces in quaternionic Kaehlerian manifolds with constant Q-sectional curvature, Kodai Math. Sem. Rep., 29 (1977), 22–61.
- [19] J. S. Pak, W. H. Sohn, Some Curveture Conditions of n-dimensional QR-submanifolds of (p - 1) QR-dimension in a quaternionic projective space
${\rm{QP}}{{({\rm{n}} + {\rm{p}})} \over 4}$ - [20] Y. Shibuya, Real submanifolds in a quaternionic projective space, Kodai Math. J., 1 (1978), 421–439.
- [21] K. Yano, M. Kon, Structure on manifold, World Scientific, Singapore, 1984.
DOI: https://doi.org/10.1515/ausm-2016-0001 | Journal eISSN: 2066-7752
Language: English
Page range: 5 - 21
Submitted on: Oct 26, 2014
Published online: Aug 2, 2016
Published in print: Aug 1, 2016
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
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© 2016 Esmail Abedi, Zahra Nazari, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.