Geodesic
D-Homothetic deformation of LP-Sasakian manifolds
Novi Sad Journal of Mathematics, Tome 45 (2015) no. 2.

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The object of the present paper is to study a transformation called D-homothetic deformation of $LP$-Sasakian manifolds. Among others it is shown that in an $LP$-Sasakian manifold, the Ricci operator $Q$ commutes with the structure tensor $\phi $. We also discuss about the invariance of $\eta $-Einstein manifolds, $\phi $-sectional curvature, the locally $\phi $-Ricci symmetry and $\eta$-parallelity of the Ricci tensor under the D-homothetic deformation. Finally, we give an example of such a manifold.
Publié le :
DOI : 10.30755/NSJOM.2014.033
Classification : 53C15, 53C25
Keywords: D-homothetic deformation, $\eta$-Einstein manifold, $\phi$-sectional curvature, locally $\phi$-Ricci symmetry 
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     title = {D-Homothetic deformation of {LP-Sasakian} manifolds},
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Krishnendu De. D-Homothetic deformation of LP-Sasakian manifolds. Novi Sad Journal of Mathematics, Tome 45 (2015) no. 2. doi : 10.30755/NSJOM.2014.033. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.2014.033/

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