Ricci solitons on manifolds and submanifolds
2022
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Advisor: Prof. Dr. Erol Kılıç
Abstract (EN)
This master's thesis, prepared as a compilation, consists of five chapters. In the first chapter, literature information about Ricci solitons on Riemannian manifolds is given. The second chapter is devoted to the basic concepts of Riemannian manifolds, Riemannian submanifolds, complex manifolds and contact manifolds. In the third chapter, Ricci solitons whose potential vector field is a special vector field (concurrent, concircular) on Riemann manifolds and submanifolds are examined. Also in this chapter, Ricci solitons and gradient Ricci solitons on Euclidean hypersurfaces are studied. In the fourth chapter, Ricci solitons and η-Ricci solitons are studied in some special classes of both almost contact metric manifolds. In the last chapter, Ricci solitons, η-Ricci solitons and ∗-Ricci solitons on real hypersurfaces of complex space form are studied.
Author
Dr. İbrahim Halil Tanşu
Institution
How to Cite
İbrahim Halil Tanşu (Master Thesis). Ricci solitons on manifolds and submanifolds, 2022, İnönü University.
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