Geodesic
Classifications of N(k)-contact metric manifolds satisfying certain curvature conditions
Pradip Majhi1 ; U. C. De2 ; Pradip Majhi ; U. C. De
1Department of Mathematics, University of North Bengal
2Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata -700019, West Bengal
Acta mathematica Universitatis Comenianae, Tome 84 (2015) no. 1, pp. 167-178 
Pradip Majhi; U. C. De; Pradip Majhi; U. C. De. Classifications of N(k)-contact metric manifolds satisfying certain curvature conditions. Acta mathematica Universitatis Comenianae, Tome 84 (2015) no. 1, pp. 167-178. http://geodesic.mathdoc.fr/item/AMUC_2015_84_1_a13/
@article{AMUC_2015_84_1_a13,
     author = {Pradip Majhi and U. C. De and Pradip Majhi and U. C. De},
     title = { Classifications of {N(k)-contact} metric manifolds satisfying certain curvature conditions},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {167--178},
     year = {2015},
     volume = {84},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2015_84_1_a13/}
}
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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 $N(k)$-contact metric manifolds satisfying certain curvature conditions on the projective curvature tensor. Projectively pseudosymmetric and pseudoprojectively at $N(k)$-contact metric manifolds are considered. Beside these we also study $N(k)$-contact metric manifolds satisfying $\tilde(Z)\dot P = 0$, where \tilde(Z)$ and $P$ denote respectively the concircular and projective curvature tensor. Finally, we give an example of a $N(k)$-contact metric manifold.