GENERALIZED SASAKIAN-SPACE-FORMS WITH A CONTACT CONFORMAL CURVATURE TENSOR
Surveys in Mathematics and its Applications, vol.20, pp.217-233, 2025 (Scopus)
- Publication Type: Article / Article
- Volume: 20
- Publication Date: 2025
- Journal Name: Surveys in Mathematics and its Applications
- Journal Indexes: Scopus
- Page Numbers: pp.217-233
- Keywords: 53C25, 53D10, 53D15, contact conformal curvature tensor, generalized Sasakian-space-forms, Sasakian manifolds
- Uşak University Affiliated: Yes
Abstract
The present paper deals with the study of generalized Sasakian-space-forms. We show that the Ricci operator commutes with ϕ. The necessary and sufficient conditions for the Ricci and ϕ-contact conformally flat generalized Sasakian-space-forms are proved. We validate our results by providing a non-trivial example of a generalized Sasakian-space-form.