MONATSHEFTE FUR MATHEMATIK, vol.177, no.3, pp.331-344, 2015 (Journal Indexed in SCI)
Article / Article
Title of Journal :
MONATSHEFTE FUR MATHEMATIK
(kappa, mu, nu)-contact metric manifold, Generalized (kappa, mu, nu)-space form, Contact metric manifold, D-a-homothetic deformation, Conformal flatness, (KAPPA, FORMS
We study the Riemann curvature tensor of -contact metric manifolds, which we prove to be completely determined in dimension 3. We also observe how this curvature tensor is affected by -homothetic deformations, which will prompt the definition and study of generalized -space forms and of the necessary and sufficient conditions for them to be conformally flat.