A classification theorem on totally umbilical submanifolds in a cosymplectic manifold

UDDIN, Siraj; ozel, cenap

A classification theorem on totally umbilical submanifolds in a cosymplectic manifold

Siraj UDDIN, (Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia E-mail:)

Cenap ÖZEL (Department of Mathematics, Abant Izzet Baysal University, 14268 Bolu, Turkey)

Hacettepe Journal of Mathematics and Statistics

2 0

Yıl: 2014 Cilt: 43 Sayı: 4 Sayfa Aralığı: 635 - 640 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

A classification theorem on totally umbilical submanifolds in a cosymplectic manifold

Öz:

In the present paper, we study totally umbilical submanifolds of cosymplectic manifolds. We obtain a result on the classification of totallyumbilical contact CR-submanifolds of a cosymplectic manifold.

Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[1] A. Bejancu, CR-submanifolds of a Kaehler manifold, Proc. Amer. Math. Soc., 69 (1978), 135-142.
[2] A. Bejancu, Umbilical CR-submanifolds of a Kaehler manifold, Rend Mat. J., 13 (1980), 431-466.
[3] D.E. Blair, Contact manifolds in Riemannian geometry, Lecture notes in mathematics, Springer-Verlag, New York, Vol. 509, 1976.
[4] D.E. Blair and B.Y. Chen, On CR-submanifolds of Hermitian manifold, Israel J. Math., 34 (1980), 353-363.
[5] D.E. Blair and S.I. Goldberg, Topology of almost contact manifolds, J. Diff. Geometry, 1 (1967), 347-354.
[6] B.Y. Chen, Totally umbilical submanifolds of Kaehler manifolds, Arch. Math. J., 36 (1981), 83-91.
[7] M. De Leon and J.C. Marrero, Compact cosymplectic manifolds of positive constant - sectional curvature, Extracta Math., 9 (1994),28-31.
[8] S. Deshmukh and S.I. Husain, Totally umbilical CR-submanifolds of a Kaehler manifold, Kodai Math. J., 9 (1986), 425-429.
[9] D.D. Joyce, Compact manifolds with special holonomy, Oxford University Press, 2000.
[10] G.D. Ludden, Submanifolds of cosymplectic manifolds, J. Diff. Geom., 4 (1970), 237-244.
[11] S. Uddin, V.A. Khan and K.A. Khan, A note on warped product submanifolds of cosymplectic manifolds, Filomat, 24 (2010), 95-102.

APA	UDDIN S, ozel c (2014). A classification theorem on totally umbilical submanifolds in a cosymplectic manifold. , 635 - 640.
Chicago	UDDIN Siraj,ozel cenap A classification theorem on totally umbilical submanifolds in a cosymplectic manifold. (2014): 635 - 640.
MLA	UDDIN Siraj,ozel cenap A classification theorem on totally umbilical submanifolds in a cosymplectic manifold. , 2014, ss.635 - 640.
AMA	UDDIN S,ozel c A classification theorem on totally umbilical submanifolds in a cosymplectic manifold. . 2014; 635 - 640.
Vancouver	UDDIN S,ozel c A classification theorem on totally umbilical submanifolds in a cosymplectic manifold. . 2014; 635 - 640.
IEEE	UDDIN S,ozel c "A classification theorem on totally umbilical submanifolds in a cosymplectic manifold." , ss.635 - 640, 2014.
ISNAD	UDDIN, Siraj - ozel, cenap. "A classification theorem on totally umbilical submanifolds in a cosymplectic manifold". (2014), 635-640.

APA	UDDIN S, ozel c (2014). A classification theorem on totally umbilical submanifolds in a cosymplectic manifold. Hacettepe Journal of Mathematics and Statistics, 43(4), 635 - 640.
Chicago	UDDIN Siraj,ozel cenap A classification theorem on totally umbilical submanifolds in a cosymplectic manifold. Hacettepe Journal of Mathematics and Statistics 43, no.4 (2014): 635 - 640.
MLA	UDDIN Siraj,ozel cenap A classification theorem on totally umbilical submanifolds in a cosymplectic manifold. Hacettepe Journal of Mathematics and Statistics, vol.43, no.4, 2014, ss.635 - 640.
AMA	UDDIN S,ozel c A classification theorem on totally umbilical submanifolds in a cosymplectic manifold. Hacettepe Journal of Mathematics and Statistics. 2014; 43(4): 635 - 640.
Vancouver	UDDIN S,ozel c A classification theorem on totally umbilical submanifolds in a cosymplectic manifold. Hacettepe Journal of Mathematics and Statistics. 2014; 43(4): 635 - 640.
IEEE	UDDIN S,ozel c "A classification theorem on totally umbilical submanifolds in a cosymplectic manifold." Hacettepe Journal of Mathematics and Statistics, 43, ss.635 - 640, 2014.
ISNAD	UDDIN, Siraj - ozel, cenap. "A classification theorem on totally umbilical submanifolds in a cosymplectic manifold". Hacettepe Journal of Mathematics and Statistics 43/4 (2014), 635-640.