Curvature Properties of Quasi-Para-Sasakian Manifolds

Year 2019, , 210 - 217, 03.10.2019

İ. Küpeli Erken

https://doi.org/10.36890/iejg.628085

Cited By: 2

Abstract

Keywords

quasi-para-Sasakian manifold, paracosymplectic manifold, constant curvature

References

• [1] Bejan, C. L. and Crasmareanu, M., Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry. Ann. Global Anal. Geom. 46(2) (2014), 117–127.
• [2] Blair, D. E., The theory of quasi-Sasakian structures. J. Differential Geom. 1 (1967), 331–345.
• [3] Blair, D. E., Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics Vol. 203, Birkhäuser. Boston 2002.
• [4] Cappelletti-Montano, B., Küpeli Erken, I. and Murathan, C., Nullity conditions in paracontact geometry. Diff. Geom. Appl. 30 (2012), 665–693.
• [5] Dacko, P., On almost para-cosymplectic manifolds. Tsukuba J. Math. 28 (2004), 193–213.
• [6] Erdem, S., On almost (para)contact (hyperbolic) metric manifolds and harmonicity of (φ,φ')-holomorphic maps between them. Houston J. Math. 28 (2002), 21–45.
• [7] Kanemaki, S., Quasi-Sasakian manifolds. Tohoku Math. J. 29 (1977), 227–233.
• [8] Kaneyuki, S. and Williams, F. L., Almost paracontact and parahodge structures on manifolds. Nagoya Math. J. 99 (1985), 173–187.
• [9] Küpeli Erken, I., Some classes of 3-dimensional normal almost paracontact metric manifolds. Honam Math. J. 37(4) (2015), 457-468.
• [10] Küpeli Erken, I., On normal almost paracontact metric manifolds of dimension 3. Facta Univ. Ser. Math. Inform. 30(5) (2015), 777-788.
• [11] Olszak, Z., Curvature properties of quasi-Sasakian manifolds. Tensor. 38 (1982), 19–28.
• [12] Olszak, Z., Normal almost contact metric manifolds of dimension three. Ann. Polon. Math. XLVII (1986), 41–50.
• [13] Tanno, S., The topology of contact Riemannian manifolds. Illinois J. Math. 12 (1968), 700-717.
• [14] Tanno, S., Quasi-Sasakian structures of rank 2p + 1. J. Differential Geom. 5 (1971), 317–324.
• [15] Wełyczko, J., On basic curvature identities for almost (para)contact metric manifolds. Available in Arxiv: 1209.4731 [math. DG].
• [16] Welyczko, J., On Legendre Curves in 3-Dimensional Normal Almost Paracontact Metric Manifolds. Result. Math. 54 (2009), 377–387.
• [17] Zamkovoy, S., Canonical connections on paracontact manifolds. Ann. Glob. Anal. Geom. 36 (2009), 37–60.