[1] Alfonso, C. and Verónica M., The curvature tensor of almost cosymplectic and almost Ken-
motsu (κ, µ, ν)-spaces. arXiv:1201.5565v2.
[2] Blair D., Kouforgiorgos T. and Papantoniou B. J., Contact metric manifolds satisfying a nullity
condition, Israel J. Math., 91 (1995), 189-214.
[3] Blair D. E., Riemannian geometry of contact and symplectic manifolds, Progress in Mathe-
matics, 203. Birkhâuser Boston, Inc., Boston, MA, 2002.
[4] Blair D. E. and Goldberg S. I., Topology of almost contact manifolds, J. Differential
geometry, 1(1967), 347-354.
[5] Blair D. E., The theory of quasi-Sasakian structures, J. Diff. Geometry, 1 (1967), 331-345.
[6] Blair D. E., Goldberg S. I., Topology of almost contact manifolds, J. Diff. Geometry, 1
(1967),347-354.
[7] Boeckx, E., A full classification of contact metric (κ, µ)-spaces, Illinois J. Math., 44 (1)
(2000), 212-219.
[8] Chinea D., De Leon M., Marrero J. C., Topology of cosymplectic manifolds, J. Math. Pures
Appl., 72 (1993), 567-591.
[9] Chinea D., De Leon M., Marrero J. C., Coeffective cohomology on almost cosymplectic
manifolds, Bull. Sci. Math., 119 (1995), 3-20.
[10] Chinea D. and Gonzalez C., An example of almost cosymplectic homogeneous manifold, in: Lect.
Notes Math. Vol. 1209, Springer-Verlag, Berlin-Heildelberg-New York, (1986), 133-142.
[11] Cordero L. A., Fernandez M. and De Leon M., Examples of compact almost contact manifolds
admitting neither Sasakian nor cosymplectic structures, Atti Sem. Mat. Univ. Modena, 34
(1985-86), 43-54.
[12] Endo H., On Ricci curvatures of almost cosymplectic manifolds, An. S¸tiint. Univ. ”Al. I.
Cuza” Ia¸si, Mat., 40 (1994), 75-83.
[13] Fujimoto A. and Muto H., On cosymplectic manifolds, Tensor N. S., 28 (1974), 43-52.
[14] Goldberg S.I. and Yano K. Integrability of almost cosymplectic structures, Pasific J. Math.,
31 (1969), 373-382.
[15] Kim, T. W. and Pak, H. K , Canonical foliations of certain classes of almost contact metric
structures, Acta Math. 21 (2005), no. 4, 841–846.
[16] Kirichenko V. F., Almost cosymplectic manifolds satisfying the axiom of
Φ-holomorphic planes (in Russian), Dokl. Akad. Nauk SSSR, 273 (1983), 280-284.
[17] Koufogiorgos, Th.and Tsichlias, C., On the existence of a new class of contact metric mani-
folds, Canad. Math. Bull., 43 (2000), 440-447.
[18] Libermann M. P., Sur les automorphismes infinitesimaux des structures symplectiques et des
structures de contact, in: Colloque de Geometrie Differentielle Globale (Bruxelles, 1958), Centre
Belge de Recherche Mathematiques Louvain, (1959), 37-59.
[19] Lichnerowicz A., Theoremes de reductivite sur des algebres d’automorphismes, Rend. Mat., 22
(1963), 197-244.
[20] Mikes, J., On Sasaki spaces and equidistant K¨ahler space, Sovlet. Math Dokl,Vo .34 (1987),
No. 3, 428-431.
[21] Mikes, J., Equidistant K¨ahler spaces, Mathematical notes of the Academy of Sciences of the
USSR, October 1985, Vol. 38, No. 4, 855-858.
[23] Olszak Z., On almost cosymplectic manifolds, Kodai Math. J., 4 (1981), 239-250.
[24] Olszak Z., Almost cosymplectic manifolds with K¨ahlerian leaves, Tensor N. S., 46 (1987),
117-124.
[25] Özgür C., Contact metric manifold with cyclic -parallel Ricci tensor, Balkan Society of Ge-
ometers, Geometry Balkan Press., 4 (2002), no.1, 21-25.
[26] Öztürk H., Aktan N. and Murathan C., Almost α-cosymplectic (κ, µ,
ν)-spaces, arXiv:1007.0527v1.
[27] Lee, Sung-Baik, Kim, Nam-Gil, Hand, Seung-Gook and Ahn, Seong-Soo, Sasakian manifolds
with cyclic-parallel Ricci tensor, Bull. Korean Math. Soc., 33 (1996), no. 2, 243-251.
ALMOST COSYMPLECTIC (κ, µ)-SPACES WITH CYCLIC-PARALLEL RICCI TENSOR
Year 2013,
Volume: 6 Issue: 2, 57 - 62, 30.10.2013
[1] Alfonso, C. and Verónica M., The curvature tensor of almost cosymplectic and almost Ken-
motsu (κ, µ, ν)-spaces. arXiv:1201.5565v2.
[2] Blair D., Kouforgiorgos T. and Papantoniou B. J., Contact metric manifolds satisfying a nullity
condition, Israel J. Math., 91 (1995), 189-214.
[3] Blair D. E., Riemannian geometry of contact and symplectic manifolds, Progress in Mathe-
matics, 203. Birkhâuser Boston, Inc., Boston, MA, 2002.
[4] Blair D. E. and Goldberg S. I., Topology of almost contact manifolds, J. Differential
geometry, 1(1967), 347-354.
[5] Blair D. E., The theory of quasi-Sasakian structures, J. Diff. Geometry, 1 (1967), 331-345.
[6] Blair D. E., Goldberg S. I., Topology of almost contact manifolds, J. Diff. Geometry, 1
(1967),347-354.
[7] Boeckx, E., A full classification of contact metric (κ, µ)-spaces, Illinois J. Math., 44 (1)
(2000), 212-219.
[8] Chinea D., De Leon M., Marrero J. C., Topology of cosymplectic manifolds, J. Math. Pures
Appl., 72 (1993), 567-591.
[9] Chinea D., De Leon M., Marrero J. C., Coeffective cohomology on almost cosymplectic
manifolds, Bull. Sci. Math., 119 (1995), 3-20.
[10] Chinea D. and Gonzalez C., An example of almost cosymplectic homogeneous manifold, in: Lect.
Notes Math. Vol. 1209, Springer-Verlag, Berlin-Heildelberg-New York, (1986), 133-142.
[11] Cordero L. A., Fernandez M. and De Leon M., Examples of compact almost contact manifolds
admitting neither Sasakian nor cosymplectic structures, Atti Sem. Mat. Univ. Modena, 34
(1985-86), 43-54.
[12] Endo H., On Ricci curvatures of almost cosymplectic manifolds, An. S¸tiint. Univ. ”Al. I.
Cuza” Ia¸si, Mat., 40 (1994), 75-83.
[13] Fujimoto A. and Muto H., On cosymplectic manifolds, Tensor N. S., 28 (1974), 43-52.
[14] Goldberg S.I. and Yano K. Integrability of almost cosymplectic structures, Pasific J. Math.,
31 (1969), 373-382.
[15] Kim, T. W. and Pak, H. K , Canonical foliations of certain classes of almost contact metric
structures, Acta Math. 21 (2005), no. 4, 841–846.
[16] Kirichenko V. F., Almost cosymplectic manifolds satisfying the axiom of
Φ-holomorphic planes (in Russian), Dokl. Akad. Nauk SSSR, 273 (1983), 280-284.
[17] Koufogiorgos, Th.and Tsichlias, C., On the existence of a new class of contact metric mani-
folds, Canad. Math. Bull., 43 (2000), 440-447.
[18] Libermann M. P., Sur les automorphismes infinitesimaux des structures symplectiques et des
structures de contact, in: Colloque de Geometrie Differentielle Globale (Bruxelles, 1958), Centre
Belge de Recherche Mathematiques Louvain, (1959), 37-59.
[19] Lichnerowicz A., Theoremes de reductivite sur des algebres d’automorphismes, Rend. Mat., 22
(1963), 197-244.
[20] Mikes, J., On Sasaki spaces and equidistant K¨ahler space, Sovlet. Math Dokl,Vo .34 (1987),
No. 3, 428-431.
[21] Mikes, J., Equidistant K¨ahler spaces, Mathematical notes of the Academy of Sciences of the
USSR, October 1985, Vol. 38, No. 4, 855-858.
[23] Olszak Z., On almost cosymplectic manifolds, Kodai Math. J., 4 (1981), 239-250.
[24] Olszak Z., Almost cosymplectic manifolds with K¨ahlerian leaves, Tensor N. S., 46 (1987),
117-124.
[25] Özgür C., Contact metric manifold with cyclic -parallel Ricci tensor, Balkan Society of Ge-
ometers, Geometry Balkan Press., 4 (2002), no.1, 21-25.
[26] Öztürk H., Aktan N. and Murathan C., Almost α-cosymplectic (κ, µ,
ν)-spaces, arXiv:1007.0527v1.
[27] Lee, Sung-Baik, Kim, Nam-Gil, Hand, Seung-Gook and Ahn, Seong-Soo, Sasakian manifolds
with cyclic-parallel Ricci tensor, Bull. Korean Math. Soc., 33 (1996), no. 2, 243-251.
Aktan, N., & Balkan, Y. S. (2013). ALMOST COSYMPLECTIC (κ, µ)-SPACES WITH CYCLIC-PARALLEL RICCI TENSOR. International Electronic Journal of Geometry, 6(2), 57-62.
AMA
Aktan N, Balkan YS. ALMOST COSYMPLECTIC (κ, µ)-SPACES WITH CYCLIC-PARALLEL RICCI TENSOR. Int. Electron. J. Geom. October 2013;6(2):57-62.
Chicago
Aktan, Nesip, and Yavuz Selim Balkan. “ALMOST COSYMPLECTIC (κ, )-SPACES WITH CYCLIC-PARALLEL RICCI TENSOR”. International Electronic Journal of Geometry 6, no. 2 (October 2013): 57-62.
EndNote
Aktan N, Balkan YS (October 1, 2013) ALMOST COSYMPLECTIC (κ, µ)-SPACES WITH CYCLIC-PARALLEL RICCI TENSOR. International Electronic Journal of Geometry 6 2 57–62.
IEEE
N. Aktan and Y. S. Balkan, “ALMOST COSYMPLECTIC (κ, µ)-SPACES WITH CYCLIC-PARALLEL RICCI TENSOR”, Int. Electron. J. Geom., vol. 6, no. 2, pp. 57–62, 2013.
ISNAD
Aktan, Nesip - Balkan, Yavuz Selim. “ALMOST COSYMPLECTIC (κ, )-SPACES WITH CYCLIC-PARALLEL RICCI TENSOR”. International Electronic Journal of Geometry 6/2 (October 2013), 57-62.
JAMA
Aktan N, Balkan YS. ALMOST COSYMPLECTIC (κ, µ)-SPACES WITH CYCLIC-PARALLEL RICCI TENSOR. Int. Electron. J. Geom. 2013;6:57–62.
MLA
Aktan, Nesip and Yavuz Selim Balkan. “ALMOST COSYMPLECTIC (κ, )-SPACES WITH CYCLIC-PARALLEL RICCI TENSOR”. International Electronic Journal of Geometry, vol. 6, no. 2, 2013, pp. 57-62.
Vancouver
Aktan N, Balkan YS. ALMOST COSYMPLECTIC (κ, µ)-SPACES WITH CYCLIC-PARALLEL RICCI TENSOR. Int. Electron. J. Geom. 2013;6(2):57-62.