Publication: The curvature tensor of -contact metric manifolds
Date
2015-07-01
Authors
Arslan, Kadri
Carriazo, Alfonso
Martin-Molina, Veronica
Murathan, Cengizhan
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Abstract
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.
Description
Keywords
Kappa, Forms, (kappa, mu, nu)-contact metric manifold, Generalized (kappa, mu, nu)-space form, Contact metric manifold, D-a-homothetic deformation, Conformal flatness, Mathematics