Geodesic
On almost Kenmotsu manifolds with generalized nullity distribution
Gopal Ghosh1 ; Uday Chand De1 ; Gopal Ghosh ; Uday Chand De
1Department of Pure Mathematics, University of Calcutta, West Bengal, India
Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 309-317 
Gopal Ghosh; Uday Chand De; Gopal Ghosh; Uday Chand De. On almost Kenmotsu manifolds with generalized nullity distribution. Acta mathematica Universitatis Comenianae, Tome 89 (2020) no. 2, pp. 309-317. http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a9/
@article{AMUC_2020_89_2_a9,
     author = {Gopal Ghosh and Uday Chand De and Gopal Ghosh and Uday Chand De},
     title = { On almost {Kenmotsu} manifolds with generalized nullity distribution},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {309--317},
     year = {2020},
     volume = {89},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2020_89_2_a9/}
}
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Voir la notice de l'article provenant de la source Comenius University

The object of the present paper is to classify generalized $(k,\mu)'$- almost Kenmotsu manifolds satisfying certain semisymmetry conditions. We prove that Weyl semisymmetric and $h'$-semisymmetric almost Kenmotsu manifolds with generalized $(k,\mu)'$- nullity distribution are both locally isometric to the Riemannian product $\mathbb{H}^{n+1}(-4)\times \mathbb{R}^{n}$. Also we characterize Weyl Ricci semisymmetric almost Kenmotsu manifolds with generalized $(k,\mu)'$-nullity distribution.