TY - JOUR T1 - Semi-Invariant Submanifolds of a Trans Sasakian Manifold with Ricci Soliton TT - Ricci solitonlu Trans Sasakian Manifoldun Semi-İnvaryant Altmanifoldları AU - Sarı, Ramazan AU - Dirik, Süleyman PY - 2025 DA - October Y2 - 2025 DO - 10.33773/jum.1799886 JF - Journal of Universal Mathematics JO - JUM PB - Gökhan ÇUVALCIOĞLU WT - DergiPark SN - 2618-5660 SP - 140 EP - 149 VL - 8 IS - 2 LA - en AB - In this paper, we investigate Ricci solitions on semi-invariant submanifolds of trans Sasakian manifold. We obtain the conditions for the soliton to be steady, shrinking and expanding. We give an example for semi-invariant submanifolds of trans Sasakian manifold with ricci soliton. KW - Ricci soliton KW - semi-invariant submanifolds KW - trans Sasakian manifold KW - Einstein manifold N2 - Bu makalede, trans Sasakian manifoldunun sem-invaryant alt manifoldları üzerinde Ricci solitonu araştırıyoruz. Solitonun sabit, küçülme ve genişleme koşullarını elde ediyoruz. Ricci solitonu olan trans Sasakian manifoldunun semi-invaryant alt manifoldları için bir örnek veriyoruz. CR - Chen, B. Y., & Deshmukh, S. (2014). Classification of Ricci solitons on Euclidean hypersurfaces. International Journal of Mathematics, 25 (11), 1450104. CR - Chen, B. Y., & Deshmukh, S. (2014). Geometry of compact shrinking Ricci solitons. Balkan Journal of Geometry and Its Applications, 19, 13–21. CR - Deshmukh, S., Al-Sodais, H., & Alodan, H. (2011). A note on Ricci solitons. Balkan Journal of Geometry and Its Applications, 16, 48–55. CR - Gherghe, C. (2000). Harmonicity on nearly trans-Sasaki manifolds. Demonstratio Mathematica, 33, 151– 157. CR - Gray, A., & Hervella, L. M. (1980). The sixteen classes of almost Hermitian manifolds and their linear invariants. Annali di Matematica Pura ed Applicata, 123 (4), 35–58. CR - Hamilton, R. S. (1988). The Ricci flow on surfaces. Mathematics and General Relativity (Contemporary Mathematics, 71), 237–262. CR - Hui, S. K., Lemence, R. S., & Chakraborty, D. (2015). Ricci solitons on three dimensional generalized Sasakian space-forms. Tensor (N. S.), 76, 75–83. CR - Ingalahalli, G., & Bagewadi, C. (2012). Ricci solitons in α-Sasakian manifolds. ISRN Geometry, 1–13. CR - Marrero, J. C. (1992). The local structure of trans-Sasakian manifolds. Annali di Matematica Pura ed Applicata, 162 (4), 77–86. CR - Morgan, J. W., & Tian, G. (2007). Ricci flow and the Poincaré conjecture. American Mathematical Society. CR - Nagaraja, H. G., & Premalatta, C. R. (2012). Ricci solitons in Kenmotsu manifolds. Journal of Mathematical Analysis, 3 (2), 18–24. CR - Oubina, J. A. (1985). New classes of almost contact metric structures. Publicationes Mathematicae Debrecen, 32, 187–193. (Not: Sayfa aralığı 197-193, 187-193 olarak düzeltildi.) CR - Turgut Vanlı, A., & Sarı, R. (2010). On invariant submanifolds of trans-Sasakian manifolds. Differential Geometry -Dynamical Systems, 12, 277–288. UR - https://doi.org/10.33773/jum.1799886 L1 - https://dergipark.org.tr/tr/download/article-file/5313913 ER -