Geodesic
On weakly symmetric generalized trans-sasakian manifold
Commentationes Mathematicae, Tome 54 (2014) no. 1, pp. 141-145.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In this paper, we have defined the weakly symmetric generalized Trans-Sasakian manifold \(G(WS)_n\) and it has been shown that on such manifold if any two of the vector fields \(\lambda,\gamma,\tau\), defined by equation (0.3) are orthogonal to \(\xi\), then the third will also be orthogonal to \(\xi\). We have also proved that the scalar curvature \(r\) of weakly symmetric generalized Trans-Sasakian manifold \(G(WS)_n\), \((n > 2)\) satisfies the equation \(r = 2n(\alpha^2 − \beta^2)\), where \(\alpha\) and \(\beta\) are smooth function and \(\gamma\not=\tau\).
DOI : 10.14708/cm.v54i1.767
Classification : 53A30
Mots-clés : Trans-Sasakian manifold, weakly symmetric, Riemannian manifold, curvature tensor 
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Levejoy S. Das; Ram Nivas; Rupali Agnihotri. On weakly symmetric generalized trans-sasakian manifold. Commentationes Mathematicae, Tome 54 (2014) no. 1, pp.  141-145. doi : 10.14708/cm.v54i1.767. http://geodesic.mathdoc.fr/articles/10.14708/cm.v54i1.767/

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