Arslan, KadriCarriazo, AlfonsoMartin-Molina, VeronicaMurathan, Cengizhan2024-07-312024-07-312015-07-010026-9255https://doi.org/10.1007/s00605-015-0762-3https://link.springer.com/article/10.1007/s00605-015-0762-3https://hdl.handle.net/11452/43586We 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.eninfo:eu-repo/semantics/openAccessKappaForms(kappa, mu, nu)-contact metric manifoldGeneralized (kappa, mu, nu)-space formContact metric manifoldD-a-homothetic deformationConformal flatnessMathematicsArticle000355956000001331344177310.1007/s00605-015-0762-3