A SCHUR TYPE THEOREM FOR ALMOST ?COSYMPLECTIC MANIFOLDS WITH KAEHLERIAN LEAVES
A SCHUR TYPE THEOREM FOR ALMOST ?COSYMPLECTIC MANIFOLDS WITH KAEHLERIAN LEAVES
In this study, we give a Schur type theorem for almost ?cosymplectic manifolds with Keahlerian leaves.
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- [1] T. W. Kim, H. K. Pak, Canonical foliations of certain classes of almost contact metric
structures, Acta Math. Sinica, Eng. Ser. Aug., 21, 4 (2005), 841{846.
- [2] G. Dileo, A. M. Pastore, Almost Kenmotsu manifolds and local symmetry, Bull. Belg. Math.
Soc. Simon Stevin, 14 (2007), 343{354.
- [3] E. Boeckx, J. T. Cho, -parallel contact metric spaces, Dierential geometry and its applications,
22 (2005), 275{285.
- [4] D. E., Blair, Riemannian geometry of contact and symplectic manifolds, Progress in Mathematics,
203. Birkh^auser Boston, Inc., Boston, MA, (2002).
- [5] I. Vaisman, Conformal changes of almost contact metric manifolds, Lecture Notes in Math.,
Berlin-Heidelberg-New York, 792 (1980), 435{443.
- [6] Kassabov, O. T. , Schur's theorem for almost Hermitian manifolds, C. R. Acad. Bulg. Sci.
(54) 3, 15-18, 2001.
- [7] Cho, J. T. ,Geometry of contact strongly pseudo-convex CR-manifolds, J. Korean Math. (43)
5, 1019-1045, 2006.
- [8] Kulkarni, R. S. , On a theorem of F. Schur, Journal Di. Geom. (4), 453-456, 1970.
- [9] Gabriel, E. V. , A Schur-type Theorem on Indenite Quaternionic Keahler Manifolds, Int.
J. Contemp. Math. 11 (2), 529 - 536, 2007.
- [10] Nobuhiro, I., A theorem of Schur type for locally symmetric spaces, Sci. Rep. Niigata Univ.,
Ser. A (25), 1-4,.1989.
- [11] Schur, F. , Ueber den Zusammenhang der Raume constanten Riemann'schen Kriimmungs-
masses mit den projectiven Raumen. Math. (27), 537-567, 1886.
- [12] Goldberg, S. I. and Yano, K. , Integrability of almost cosymplectic structures, Pacic J. Math.
(31), 373-382, 1969.
- [13] Olszak, Z., On almost cosymplectic manfolds, Kodai Math. J. (4), 239-250, 1981.
- [14] Olszak, Z., Almost cosymplectic manfolds with Kahlerian leaves, Tensor N. S. (46), 117-124,
1987.
- [15] Kirichenko, V. F. , Almost cosymplectic manifolds satisfying the axiom of
- [16] Endo, H. , On Ricci curvatures of almost cosymplectic manifolds, An.
Stiinj:Univ:"Al:I:Cuza"Iaxi;Mat:(40); 75 ? 83; 1994:
- [17] Blair, D. E. , The theory of quasi-Sasakian structures, J. Di. Geometry, (1), 331-345, 1967.
- [18] Dacko, P. and Olszak, Z., On conformally
at almost cosymplectic manifolds with Keahlerian
leaves, Rend. Sem. Mat. Univ. Pol. Torino, (56) 1, 89-103, 1998.
- [19] Goldberg, S. I. and Yano, K. , Integrability of almost cosymplectic structure, Pacic J. Math.
(31) , 373{382, 1969
- [20] Tanno, S. , The standard CR structure on the unit tangent bundle Tohoku Math. J. 44 (2),
535-543, 1992.
- [21] Blair, D. E. , Contact metric manifolds satisfying a nullity condition Israel J.of Math. (91),
1-3, 189-214, 1995..
- [22] Nesip Aktan, Gulhan Ayar and Imren Bektas, A Schur type theorem for almost cosymplectic
manifolds with Kaehlerian leaves, Hacettepe Journal of Mathematics and Statistics Volume
42 (4) (2013), 455 { 463
- [23] H. Ozturk, Nesip Aktan, Cengizhan Murathan, Almost -Cosymplectic ( ; ; )-Spaces,
arXiv:1007.0527
- [24] K. Kenmotsu, A class of contact Riemannian manifold, Tohoku Math. Journal, 24 (1972),93{
103