Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures and Tusi Mathematical Research Group)Khayyam Journal of Mathematics2423-47884220180701Generalized Ricci Solitons on Trans-Sasakian Manifolds1781866344610.22034/kjm.2018.63446ENMohd DanishSiddiqiDepartment of Mathematics, Jazan University, Faculty of Science, Jazan,
Kingdom of Saudi Arabia.Journal Article20180126The object of the present research is to shows that a trans-Sasakian manifold, which also satisfies the Ricci soliton and generalized Ricci soliton equation, satisfying some conditions, is necessarily the Einstein manifold.http://www.kjm-math.org/article_63446_eabee94b9a3fd4c91d2e2429b5763ac2.pdf