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GENERALIZED η-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS ASSOCIATED TO THE ZAMKOVOY CONNECTION

Shahroud Azami
대한수학회 (The Korean Mathematical Society)|2024.01|대한수학회논문집 (Communications of the KMS)|제39권 제1호|pp. 175-186|DOI 10.4134/CKMS.c230086

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참고문헌

키워드

Para-Kenmotsu manifoldsgeneralized η-Ricci solitonZamkovoy connection
주제분류수학

초록

In this paper, we study para-Kenmotsu manifolds admitting generalized η-Ricci solitons associated to the Zamkovoy connection. We provide an example of generalized η-Ricci soliton on a para-Kenmotsu manifold to prove our results.

Abstract

In this paper, we study para-Kenmotsu manifolds admitting generalized η-Ricci solitons associated to the Zamkovoy connection. We provide an example of generalized η-Ricci soliton on a para-Kenmotsu manifold to prove our results.

참고문헌 (43)

  1. T. Adati, "On conformally recurrent and conformally symmetric P-Sasakian manifolds", TRU Math, 13(1), pp.25~32 (1977)
  2. P. Alegre, "Slant submanifolds of Lorentzian Sasakian and para Sasakian manifolds", Taiwanese J. Math, 17(3), pp.897~910 (2013)[DOI]
  3. S. Azami, "Generalized Ricci solitons of three-dimensional Lorentzian Lie groups associated canonical connections and Kobayashi-Nomizu connections", J. Nonlinear Math. Phys, 30(1), pp.1~33 (2023)[DOI]
  4. A. M. Blaga, "Canonical connections on para-Kenmotsu manifolds", Novi Sad J. Math, 45(2), pp.131~142 (2015)[DOI]
  5. A. M. Blaga, "Torse-forming η-Ricci solitons in almost paracontact η-Einstein geometry", Filomat, 31(2), pp.499~504 (2017)[DOI]
  6. C. C˘alin, "From the Eisenhart problem to Ricci solitons in f-Kenmotsu manifolds", Bull. Malays. Math. Sci. Soc, 33(3), pp.361~368 (2010)
  7. G. Calvaruso, "Three-dimensional homogeneous generalized Ricci solitons", Mediterr. J. Math, 14(5), pp.21~ (2017)[DOI]
  8. B. -Y. Chen, "A simple characterization of generalized Robertson-Walker spacetimes", Gen. Relativity Gravitation, 46(12), pp.5~ (2014)[DOI]
  9. B. -Y. Chen, "Classification of torqued vector fields and its applications to Ricci solitons", Kragujevac J. Math, 41(2), pp.239~250 (2017)[DOI]
  10. J. T. Cho, "Ricci solitons and real hypersurfaces in a complex space form", Tohoku Math. J, 61(2), pp.205~212 (2009)[DOI]
  11. K. De, "η-Ricci solitons on Kenmotsu 3-manifolds", An. Univ. Vest Timi¸s. Ser. Mat. -Inform, 56(1), pp.51~63 (2018)[DOI]
  12. S. S. Devi, "Certain curvature connections on Lorentzian para-Kenmotsu manifolds", RT & A, 17(2), pp.413~421 (2022)
  13. A. Ghosh, "Ricci almost solitons and contact geometry", Adv. Geom, 21(2), pp.169~178 (2021)[DOI]
  14. R. S. Hamilton, "Mathematics and general relativity", pp.237~262 (1988), Amer. Math. Soc
  15. A. Haseeb, "Certain results on Lorentzian para-Kenmotsu manifolds", Bulletin of Parana’s Mathematical Society (2018)
  16. K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tohoku Math. J, 24, pp.93~103 (1972)[DOI]
  17. P. Majhi, "η-Ricci solitons on Sasakian 3-manifolds", An. Univ. Vest Timi¸s. Ser. Mat. -Inform, 55(2), pp.143~156 (2017)[DOI]
  18. A. Mandai, "Some curvature properties of para-Kenmotsu manifolds with respect to Zamkovoy connection", J. Hyperstructure, 11(1), pp.166~182 (2022)
  19. K. Matsumoto, "On Lorentzian paracontact manifolds", Bull. Yamagata Univ. Natur. Sci, 12(2), pp.151~156 (1989)
  20. M. E. A. Mekki, "Generalised Ricci solitons on Sasakian manifolds", Kyungpook Math. J, 57(4), pp.677~682 (2017)[DOI]
  21. I. Mihai, "Classical analysis", pp.155~169 (1992), World Sci. Publ
  22. D. M. Naik, "Ricci solitons on Riemannian manifolds admitting certain vector field", Ricerche Mat (2021)[DOI]
  23. D. M. Naik, "Generalized Ricci solitons on Riemannian manifolds admitting concurrent-recurrent vector field", J. Anal, 30(3), pp.1023~1031 (2022)[DOI]
  24. D. M. Naik, "η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds", Int. J. Geom. Methods Mod. Phys, 16(9), pp.18~ (2019)[DOI]
  25. D. M. Naik, "Ricci solitons and certain related metrics on almost co-Kaehler manifolds", J. Math. Phys. Anal. Geom, 16(4), pp.402~417 (2020)[DOI]
  26. D. M. Naik, "Generalized Ricci soliton and paracontact geometry", S˜ao Paulo J. Math. Sci, 15(2), pp.916~927 (2021)[DOI]
  27. D. M. Naik, "Certain results on Kenmotsu pseudometric manifolds", Miskolc Math. Notes, 20(2), pp.1083~1099 (2019)
  28. P. Nurowski, "Generalized Ricci solitons", J. Geom. Anal, 26(2), pp.1280~1345 (2016)[DOI]
  29. S. Pandey, "η-Ricci solutions on Lorentzian para-Kenmotsu manifolds", Facta Univ. Ser. Math. Inform, 36(2), pp.419~434 (2021)
  30. D. G. Prakasha, "η-Ricci solitons on para-Sasakian manifolds", J. Geom, 108(2), pp.383~392 (2017)[DOI]
  31. D. G. Prakasha, "The Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold", Cubo A Math. J, 23(2), pp.191~206 (2021)[DOI]
  32. R. Prasad, "On ˇϕ-semisymmetric LP-Kenmotsu manifolds with a QSNM-connection admitting Ricci solitons", Kragujevac J. Math, 45(5), pp.815~827 (2021)[DOI]
  33. I. Sato, "On a structure similar to the almost contact structure", Tensor(N. S. ), 30(3), pp.219~224 (1976)
  34. J. A. Schouten, "Ricci Calculus" (1954), Springer-Verlag
  35. S. Sharma, "On M-projective curvature tensor of para-Kenmotsu manifolds admitting Zamkovoy connection", South East Asian J. Math. Math. Sci, 18(2), pp.259~274 (2022)
  36. M. D. Siddiqi, "Generalized η-Ricci solitons in trans Sasakian manifolds", Eurasian Bulltein of Mathematics, 1(3), pp.107~116 (2018)
  37. B. B. Sinha, "A class of almost para contact metric manifold", Bull. Calcutta Math. Soc, 87(4), pp.307~312 (1995)
  38. A. F. Solov´ev, "On the curvature of the connection induced on a hyperdistribution in a Riemannian space", Geom. Sb, 19, pp.12~23 (1978)
  39. M. Turan, "On quasi-Sasakian 3-manifolds admitting η-Ricci solitons", Filomat, 33(15), pp.4923~4930 (2019)
  40. K. Yano, "Concircular geometry. I. Concircular transformations", Proc. Imp. Acad. Tokyo, 16, pp.195~200 (1940)
  41. K. Yano, "On the torse-forming directions in Riemannian spaces", Proc. Imp. Acad. Tokyo, 20, pp.340~345 (1944)
  42. K. Yano, "On the concurrent vector fields of immersed manifolds", Kodai Math. Sem. Rep, 23, pp.343~350 (1971)
  43. S. Zamkovoy, "Canonical connections on paracontact manifolds", Ann. Global Anal. Geom, 36(1), pp.37~60 (2009)[DOI]

관련 논문AI추천

η-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS WITH SOME CURVATURE CONDITIONSAshis Mondal강원경기수학회 · 한국수학논문집2021 · 제29권 제4호Generalized η-Ricci Solitons on Kenmotsu Manifolds associated to the General ConnectionShahroud Azami경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2024 · 제64권 제2호η-RICCI SOLITONS ON KENMOTSU MANIFOLDS ADMITTING GENERAL CONNECTIONAshis Biswas, Ashoke Das, Kanak Kanti Baishya, Manoj Ray Bakshi강원경기수학회 · 한국수학논문집2020 · 제28권 제4호Curvature Properties of η-Ricci Solitons on Para-Kenmotsu ManifoldsAbhishek Singh, Shyam Kishor경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호PARA-KENMOTSU METRIC AS A 𝜂-RICCI SOLITONSatyabrota Kundu강원경기수학회 · 한국수학논문집2021 · 제29권 제2호Ricci solitons and Ricci almost solitons on para-Kenmotsu manifoldDhriti Sundar Patra대한수학회 · 대한수학회보2019 · 제56권 제5호

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