On almost cosymplectic generalized (k, μ)ʹ-spaces

References

[1] Besse, A. L.: Einstein Manifolds, Springer-Verlag, Berlin, 1987.10.1007/978-3-540-74311-8Suche in Google Scholar

[2] Blair, D. E.: Riemannian Geometry of Contact and Symplectic Manifolds, Progress in Mathematics, Vol. 203, Birkhäuser Boston, Inc., Boston, MA., 2002.10.1007/978-1-4757-3604-5Suche in Google Scholar

[3] Blair, D. E.—Koufogiorgos, T.—Papantoniou, B. J.: Contact metric manifolds satisfying a nullity condition, Israel J. Math. 91 (1995), 189–214.10.1007/BF02761646Suche in Google Scholar

[4] Boeckx, E.: A full classication of contact (k, μ)-spaces, Illinois J. Math. 44 (2000), 212–219.10.1215/ijm/1255984960Suche in Google Scholar

[5] Cappelletti-Montano, B.—Nicola, B. A. D.—Yudin, I.: A survey on cosymplectic geometry, Rev. Math. Phys. 25 (2013), Art. 1343002.10.1142/S0129055X13430022Suche in Google Scholar

[6] Chen, B.-Y.: Differential Geometry of Warped Product Manifolds and Submanifolds, World Scientific Publishing Co. Pte. Ltd., NJ, 2017.10.1142/10419Suche in Google Scholar

[7] Carriazo, A.—Martín-Molina, V.: Almost cosymplectic and almost Kenmotsu (κ, μ, ν)-spaces, Mediterr. J. Math. 10(3) (2013), 1551–1571.10.1007/s00009-013-0246-4Suche in Google Scholar

[8] Dacko, P.: On almost cosymplectic manifolds with the structure vector field ξ belonging to the k-nullity distribution, Balkan J. Geom. Appl. 5(2) (2000), 47–60.Suche in Google Scholar

[9] Dacko, P.—Olszak, Z.: On conformally flat almost cosymplectic manifolds with Kählerian leaves, Rend. Sem. Mat. Univ. Politec. Torino 56(1) (1998), 89–103Suche in Google Scholar

[10] Dacko, P.—Olszak, Z.: On almost cosymplectic (κ, μ, ν)-spaces. PDEs, submanifolds and affine differential geometry, 211–220, Banach Center Publ. 69, Polish Acad. Sci. Inst. Math., Warsaw, 2005.10.4064/bc69-0-17Suche in Google Scholar

[11] Dileo, G.—Pastore, A. M.: Almost Kenmotsu manifolds with a condition of η-parallelism, Differential Geom. Appl. 27(5) (2009), 671–679.10.1016/j.difgeo.2009.03.007Suche in Google Scholar

[12] Ghosh, A.—Sharma, R.—Cho, J. T.: Contact metric manifolds with η-parallel torsion tensor, Ann. Global Anal. Geom. 34(3) (2008), 287–299.10.1007/s10455-008-9112-1Suche in Google Scholar

[13] Goldberg, S. I.—Yano, K.: Integrability of almost cosymplectic structures, Pacific J. Math. 31 (1969), 373–382.10.2140/pjm.1969.31.373Suche in Google Scholar

[14] Kobayashi, S.—Nomizu, K.: Foundations of Differential Geometry, Vol. I, Wiley-Interscience Publishers, New York, 1963.Suche in Google Scholar

[15] Koufogiorgos, T.—Markellos, M.—Papantoniou, V. J.: The harmonicity of the Reeb vector field on contact metric 3-manifolds, Pacific J. Math. 234(2) (2008), 325–344.10.2140/pjm.2008.234.325Suche in Google Scholar

[16] Koufogiorgos, T.—Tsichlias, C.: On the existence of a new class of contact metric manifolds, Canad. Math. Bull. 43(4) (2000), 440–447.10.4153/CMB-2000-052-6Suche in Google Scholar

[17] Maduna, S.—Massamba, F.: Certain class of almost cosymplectic manifolds with Kählerian leaves, Mediterr. J. Math. 20(3) (2023), Art. No. 163.10.1007/s00009-023-02343-zSuche in Google Scholar

[18] Pastore, A. M.—Saltarelli, V.: Generalized nullity distributions on almost Kenmotsu manifolds, Int. Electron. J. Geom. 4(2) (2011), 168–183.Suche in Google Scholar

[19] Perrone, D.: Classification of homogeneous almost cosymplectic three-manifolds, Differential Geom. Appl. 30(1) (2012), 49–58.10.1016/j.difgeo.2011.10.003Suche in Google Scholar

[20] Perrone, D.: Minimal Reeb vector fields on almost cosymplectic manifolds, Kodai Math. J. 36(2) (2013), 258–274.10.2996/kmj/1372337517Suche in Google Scholar

[21] Olszak, Z.: Locally conformal almost cosymplectic manifolds, Colloq. Math. 57 (1989), 73–87.10.4064/cm-57-1-73-87Suche in Google Scholar

[22] Olszak, Z.: On almost cosymplectic manifolds, Kodai Math. J. 1 (1981), 239–250.10.2996/kmj/1138036371Suche in Google Scholar

[23] Olszak, Z.: Almost cosymplectic manifolds with Kählerian leaves, Tensor New Ser. 46 (1987), 117–124.Suche in Google Scholar

[24] O’Neill, B.: Semi-Riemannian Geometry with Applications to Relativity, Pure Appl. Math., Vol. 103, Academic Press, New-York, 1983.Suche in Google Scholar

[25] ÖZtüRk, H.—Aktan, N.—Murathan, C.: Almost α-Cosymplectic (κ, μ, ν)-Spaces, https://arxiv.org/abs/1007.0527.Suche in Google Scholar

[26] Szabo, Z. I.: Structure theorems on Riemannian spaces satisfying R(X, Y) · R = 0 I: The local version, J. Differential Geometry 17(4) (1982), 531–582.10.4310/jdg/1214437486Suche in Google Scholar

[27] Szabo, Z. I.: Structure theorems on Riemannian spaces satisfying R(X, Y) · R = 0 II: The global version, Geom. Dedicata 19 (1985), 65–10810.1007/BF00233102Suche in Google Scholar

[28] Yildiz, A.—De, U. C.: A classification of (κ, μ)-contact metric manifolds, Commun. Korean Math. Soc. 27(2) (2012), 327–339.10.4134/CKMS.2012.27.2.327Suche in Google Scholar

[29] Wang, Y.: Almost co-Kähler manifolds satisfying some symmetry conditions, Turkish J. Math. 40(4) (2016), 740–752.10.3906/mat-1504-73Suche in Google Scholar

[30] Wang, Y.: Locally symmetric almost co-Kähler 5-manifolds with Kählerian leaves, Bull. Korean Math. Soc. 55(3) (2018), 789–798.Suche in Google Scholar

[31] Wang, W.: Almost cosymplectic (k, μ)-metrics as η-Ricci solitons, J. Nonlinear Math. Phys. 29(1) (2022), 58–72.10.1007/s44198-021-00019-4Suche in Google Scholar