Publication: The curvature tensor of -contact metric manifolds
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.
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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
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