Pseudo-umbilical CR-submanifold of an Almost Hermitian Manifold
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Abstract
In this paper, we rstly study dierentiable functions on M, where M is a pseudo-umbilical CR-submanifold of an almost Hermitian manifold, then give a theorem which concern about geodesic character of M, and extend Bejancu and Chen B.Y.'s conclusions.
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LI, X., & Yong, W.
(2014).
Pseudo-umbilical CR-submanifold of an Almost Hermitian Manifold.
Acta Mathematica Universitatis Comenianae, 83(2), 311-316.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/22/93
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References
[1] Aurel Bejancu, Geometry of CR-submanifolds, Reide Publishing Company, USA(1985), pp. (1-29)
[2] M.Okumura, Submanifolds of a Kaehlerian manifold and a Sasakian manifold, Lecture Notes., Michigan State Univ.(1971), pp. 217-234.
[3] Wan Yong and Donghe Pei, Integrability of distribution D? on a nearly Sasakian manifold, Acta Mathematica Academiae Paedagogicae, Vol. 25 (2009), pp. 271-276.
[4] Wan Yong, Integrability of distribution Dfg on a nearly Sasakian manifold, Journal of Changsha Univ. of Science and Technology(NS), Vol. 4 (2007), pp. 72-74.
[5] Wan Yong and Gao Qiju, Integrability of distribution on a CR-submanifold of a quasi Kaehlerian manifold, Journal of Changsha Univ. of Electric Power(NS), Vol. 13 (1998), pp. 7-15.
[6] Chen.B.Y, CR-submanifolds of a Kaehlerian manifold, Dierential Geometry, Vol. 16 (1981), pp. 305-323.
[7] Chen B.Y.Totally umbilical submanifolds of Kaehler manifolds,Archiv der Mathematik,Vol. 16 (1981), pp. 83-91.
[2] M.Okumura, Submanifolds of a Kaehlerian manifold and a Sasakian manifold, Lecture Notes., Michigan State Univ.(1971), pp. 217-234.
[3] Wan Yong and Donghe Pei, Integrability of distribution D? on a nearly Sasakian manifold, Acta Mathematica Academiae Paedagogicae, Vol. 25 (2009), pp. 271-276.
[4] Wan Yong, Integrability of distribution Dfg on a nearly Sasakian manifold, Journal of Changsha Univ. of Science and Technology(NS), Vol. 4 (2007), pp. 72-74.
[5] Wan Yong and Gao Qiju, Integrability of distribution on a CR-submanifold of a quasi Kaehlerian manifold, Journal of Changsha Univ. of Electric Power(NS), Vol. 13 (1998), pp. 7-15.
[6] Chen.B.Y, CR-submanifolds of a Kaehlerian manifold, Dierential Geometry, Vol. 16 (1981), pp. 305-323.
[7] Chen B.Y.Totally umbilical submanifolds of Kaehler manifolds,Archiv der Mathematik,Vol. 16 (1981), pp. 83-91.