본문 바로가기
KERD
논문KCI 등재

Generalized η-Ricci Solitons on Kenmotsu Manifolds associated to the General Connection

Shahroud Azami
경북대학교 자연과학대학 수학과|2024.06|Kyungpook Mathematical Journal|제64권 제2호|pp. 261-270|DOI 10.5666/KMJ.2024.64.2.261

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Kenmotsu manifoldsgeneralized η-Ricci solitonGeneral connection
주제분류수학

초록

In this paper, we consider generalized η-Ricci solitons associated to the general connection on Kenmotsu manifolds. We confirm the existence of such solitons by constructing a non-trivial example, and we obtain some properties of Kenmotsu manifolds that admit the generalized η-Ricci solitons associated with the general connection.

Abstract

In this paper, we consider generalized η-Ricci solitons associated to the general connection on Kenmotsu manifolds. We confirm the existence of such solitons by constructing a non-trivial example, and we obtain some properties of Kenmotsu manifolds that admit the generalized η-Ricci solitons associated with the general connection.

참고문헌 (19)

  1. S. Azami, "Generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-Nomizu connections", J. Nonlinear Math. Phys, 30, pp.1~33 (2023)
  2. A. Biswas, "A general connection on Sasakian manifolds and the case of almost pseudo symmetric Sasakian manifolds", Sci. Stud. Res., Ser. Math. Inform., 29(1) (2019)
  3. A. Biswas, "η-Ricci solitons on Kenmotsu manifolds admitting general connection", Korean J. Math, 28(4), pp.803~817 (2020)
  4. A. M. Blaga, "η-Ricci solitons on para-Kenmotsu manifolds", Balkan J. Geom. Appl., 20, pp.1~13 (2015)
  5. J. T. Cho, "Ricci solitons and real hypersurfaces in a complex space form", Tohoku Math. J., 61(2), pp.205~212 (2009)
  6. K. De, "η-Ricci solitons on Kenmotsu 3-manifolds", Analele Univ. Timisoara, LVI, 56(1), pp.51~63 (2018)
  7. S. Eyasmin, "η-Ricci solitons in Kenmotsu manifolds", Honam Math. J., 40(2), pp.383~392 (2018)
  8. S. Golab, "On semi-symmetric and quarter-symmetric linear connections", Tensor N.S., 29, pp.249~254 (1975)
  9. R. S. Hamilton, "The Ricci flow on surfaces, Mathematics and general relativity", Contemp. Math., 71, pp.237~262 (1986)
  10. K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tohoku Math. J., 24, pp.93~103 (1972)
  11. D. M. Naik, "η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds", Int. J. Geom. Methods Mod. Phys., 16, pp.1950134~ (2019)
  12. D. M. Naik, "Certain results on Kenmotsu pseudometric manifolds", Miskolc Math. Notes, 20, pp.1083~1099 (2019)
  13. D. M. Naik, "Generalized Ricci soliton and paracontact geometry", Sao Paulo J. Math. Sci., 15, pp.916~927 (2021)
  14. P. Nurowski, "Generalized Ricci solitons", J. Geom. Anal., 26, pp.1280~1345 (2016)
  15. S. Pandey, "η-Ricci soliton on Lorentzian para-Kenmotsu manifolds", Facta Univ. Ser. Math. Inform., 36(2), pp.419~434 (2021)
  16. J. A. Schouten, "Zur Einbettungs-und Krummungsthe-orie nichtholonomer", Math. Ann., 103, pp.752~783 (1930)
  17. M. D. Siddiqi, "Generalized η-Ricci solitons in trans Sasakian manifolds", Eurasian bulltein of mathematics, 1(3), pp.107~116 (2018)
  18. B. Shanmukha, "Some Ricci solitons on Kenmotsu manifold", J. Anal., 28, pp.1155~1164 (2020)
  19. S. Zamkovoy, "Cononical connections on paracontact manifolds", Ann. Glob. Anal. Geom., 36(1), pp.37~60 (2009)

관련 논문AI추천

η-RICCI SOLITONS ON KENMOTSU MANIFOLDS ADMITTING GENERAL CONNECTIONAshis Biswas, Ashoke Das, Kanak Kanti Baishya, Manoj Ray Bakshi강원경기수학회 · 한국수학논문집2020 · 제28권 제4호GENERALIZED η-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS ASSOCIATED TO THE ZAMKOVOY CONNECTIONShahroud Azami대한수학회 · 대한수학회논문집2024 · 제39권 제1호η-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS WITH SOME CURVATURE CONDITIONSAshis Mondal강원경기수학회 · 한국수학논문집2021 · 제29권 제4호Curvature Properties of η-Ricci Solitons on Para-Kenmotsu ManifoldsAbhishek Singh, Shyam Kishor경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호η-Einstein Solitons on (ε)-Kenmotsu ManifoldsMOHD. DANISH SIDDIQI, Sudhakar Kumar Chaubey경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2020 · 제60권 제4호Ricci-Yamabe Solitons and Gradient Ricci-Yamabe Solitons on Kenmotsu 3-manifoldsArpan Sardar, Avijit Sarkar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제4호

이 간행물의 다른 논문 (11건)

Minimal Generators of Syzygy Modules Via MatricesHaohao Wang, Peter Omanpp. 197-204The G-Drazin Inverse of an Operator Matrix over Banach SpacesFarzaneh Tayebi, Nahid Ashrafi, Rahman Bahmani, Marjan Sheibani Abdolyousefipp. 205-218Generalized Fourier–Feynman Transform of Bounded Cylinder Functions on the Function Space C_(a,b)[0, T]최재길pp. 219-233On The Sets of f-Strongly Cesaro Summable SequencesRifat Colak, Ibrahim Sulaiman Ibrahimpp. 235-244Anisotropic Variable Herz Spaces and ApplicationsAissa Djeriou, Rabah Heraizpp. 245-260
원문 보기