Some Results on Nearly Cosymplectic Manifolds
Abstract
The object of this paper is to study Ricci solitons under some curvature conditions in nearly cosymplectic manifolds.
Keywords
References
- [1] Z. Olszak, Nearly Sasakian manifolds, Tensor, N.S., 33(1979), 26.
- [2] Z. Olszak, Five-dimensional nearly Sasakian manifolds, Tensor, N.S., 34(1980), 273-276.
- [3] H. Endo, On the curvature tensor of nearly cosymplectic manifolds of constant j-sectional curvature. An. S¸tiint. Univ. Al. I. Cuza Ia¸si. Mat. 51(2)(2005), 439-454 .
- [4] A. De Nicola, G. Dileo, I. Yudin, On nearly Sasakian and nearly cosymplectic manifolds, Ann. Mat., (2017), https://doi.org/10.1007/s10231-017-0671-2.
- [5] D.E. Blair, Riemannian geometry of contact and symplectic manifolds, Progress in Math., 203, Birkhauser Boston 2002.
- [6] D.E. Blair, D.K. Showers, Almost Contact Manifolds with Killing Structures Tensors II., J. Dier. Geom., 9(1974), 577-582.
- [7] D.E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer-Verlag, Berlin, (1976).
- [8] S. K. Chaubey, On generalized j-recurrent trans-Sasakian manifolds, (to appear).
- [9] P. Libermann, Sur les automorphismes innit·esimaux des structures symplectiques et de atructures de contact, Coll. G·eom. Di. Globale, (1959), 3759.
- [10] R.S. Hamilton, The Ricci flow on surfaces, Mathematical and General relativity (Santa Cruz, CA, 1986), American Math. Soc. Contemp. Math. 71 (1988), 237-262.
