TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO GENERALIZED TANAKA-WEBSTER CONNECTION
HONAM MATHEMATICAL JOURNAL, vol.40, no.3, pp.487-508, 2018 (ESCI)
- Publication Type: Article / Article
- Volume: 40 Issue: 3
- Publication Date: 2018
- Doi Number: 10.5831/hmj.2018.40.3.487
- Journal Name: HONAM MATHEMATICAL JOURNAL
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.487-508
- Inonu University Affiliated: Yes
Abstract
In this study, we use the generalized Tanaka-Webster connection on a trans-Sasakian manifold of type (alpha, beta) and obtain the curvature tensors of a trans-Sasakian manifold with respect to this connection. Also, we investigate some special curvature conditions of a trans-Sasakian manifold with respect to generalized Tanaka-Webster connection and finally, give an example for trans-Sasakian manifolds.