Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 2019 / Cilt: 68 - Sayı: 2
REMARKS ON ALMOST n-RICCI SOLITONS IN (E)-PARA SASAKIAN MANIFOLDS
- Sayfa
- 1621–1628
- DOI
- —
Abstract
We consider almost n-Ricci solitons in (E)-para Sasakian manifolds satisfying certain curvature conditions. In the gradient case we give anestimation for the norm of the Ricci curvature tensor and express the scalarcurvature of the manifold in terms of the two functions that define the soliton.We also prove that if the Ricci operator is of Codazzi type, then the gradientn-Ricci soliton is expanding if M is spacelike or shrinking if M is timelike.