본문 바로가기
KERD
논문KCI 등재

η-RICCI SOLITONS ON KENMOTSU MANIFOLDS ADMITTING GENERAL CONNECTION

Kanak Kanti Baishya|Manoj Ray Bakshi|Ashoke Das|Ashis Biswas
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2020.12|한국수학논문집 (Korean Journal of Mathematics)|제28권 제4호|pp. 803-817

2

조회

0

다운로드

2

인용

0

참고문헌

키워드

Zamkovoy connectionquarter symmetric metric connectionSchouten-Van Kampen connectionTanaka Webster connectiongeneral connection
주제분류수학

초록

The object of the present paper is to study η-Ricci soliton on Kenmotsu manifold with respect to general connection.

Abstract

The object of the present paper is to study η-Ricci soliton on Kenmotsu manifold with respect to general connection.

참고문헌 (33)

  1. A. Ba¸sari, "On generalised φ-reccurent Kenmotsu manifolds", SDU¨Fen Dergisi, 3(1), pp.91~97 (2008)
  2. Kanak Kanti Baishya, "On generalized quasi-conformal $N(k,\mu )$-manifolds", 대한수학회논문집, 31(1), pp.163~176 (2016), 대한수학회
  3. A. Biswas, "Study on generalized pseudo (Ricci) symmetric Sasakian manifold admitting general connection", Bulletin of the Transilvania University of Brasov, 12(2) (2019)[DOI]
  4. A. Biswas, "A general connection on Sasakian manifolds and the case of almost pseudo symmetric Sasakian manifolds", Scientific Studies and Research Series Mathematics and Informatics, 29(1) (2019)
  5. A. Biswas, "On Sasakian manifolds satisfying curvature restrictions with respect to quarter symmetric metric connection", Scientific Studies and Research Series Mathematics and Informatics, 28(1), pp.29~40 (2018)
  6. D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds" (2002), Birkhauser
  7. A. M. Blaga, "η-Ricci solitons on Lorentzian para-Sasakian manifolds", Filomat, 30(2), pp.489~496 (2016)
  8. K. Yano, "Curvature and Betti numbers, Annals of Mathematics Studies 32" (1953), Princeton University Press
  9. K. K. Baishya, "η-Ricci solitons in (LCS)n-manifolds", Bull. Transilv. Univ. Brasov, 58(2), pp.1~12 (2016)
  10. L. P. Eisenhart, "Riemannian Geometry" (1949), Princeton University Press
  11. Golab, S., "On semi-symmetric and quarter-symmetric linear connections", Tensor(N.S.), 29, pp.249~254 (1975)
  12. Y. Ishii, "On conharmonic transformations", Tensor (N.S.), 7, pp.73~80 (1957)
  13. J. T. Cho, "Ricci solitons and real hypersurfaces in a complex space form", Tohoku Math. J, 61(2), pp.205~212 (2009)
  14. K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tohoku Math. J, 24, pp.93~103 (1972)
  15. K. K. Baishya, "More on η-Ricci solitons in (LCS)n-manifolds", Bulletin of the Transilvania University of Brasov, Series III, Maths, Informatics, Physics., 60(1), pp.1~10 (2018)
  16. K. K. Baishya, "Ricci Solitons in Sasakian manifold", Afr. Mat, 28, pp.1061~1066 (2017)[DOI]
  17. K. K. Baishya, "On almost generalized weakly symmetric Kenmotsu manifolds", Acta Univ. Palacki. Olomuc., Fac. rer. nat., Mathematica, 55(2), pp.5~15 (2016)
  18. D. G. Prakasha, "η-Ricci solitons on para-Sasakian manifolds", J. Geom, 108, pp.383~392 (2017)
  19. "The entropy formula for the Ricci flow and its geometric applications" (2002)[URL]
  20. "Ricci flow with surgery on three manifolds" (2003)[URL]
  21. G. P. Pokhariyal, "Curvature tensors and their relativistic significance", Yokohama Math. J, 18, pp.105~108 (1970)
  22. G. P. Pokhariyal, "Curvature tensors and their relativistic significance II", Yokohama Math. J, 19(2), pp.97~103 (1971)
  23. R. Sharma, "Certain results on κ-contact and ( κ,µ)-contact manifolds", J. Geom, 89, pp.138~147 (2008)
  24. R. S. Hamilton, "The Ricci flow on surfaces, Mathematics and general relativity", Contemp. Math., American Math. Soc., 71, pp.237~262 (1988)
  25. S. Deshmukh, "A note on Ricci solitons", Balkan J. Geom. Appl, 16, pp.48~55 (2011)
  26. Schouten, J. A., "Einbettungs-und Krummungstheorie nichtholonomer", Gebilde Math. Ann, 103, pp.752~783 (1930)
  27. S. M. Webster, "h Pseudo hermitian structures on a real hypersurface", J. Differ. Geom, 13, pp.25~41 (1978)
  28. Sabina Eyasmin, "-RICCI SOLITONS ON KENMOTSU MANIFOLDS", 호남수학학술지, 40(2), pp.367~376 (2018), 호남수학회
  29. S. Tanno, "The automorphism groups of almost contact Riemannian manifold", Tohoku Math. J, 21, pp.21~38 (1969)
  30. V. F. Kirichenko, "On the geometry of Kenmotsu manifolds", Dokl. Akad. Nauk, Ross. Akad. Nauk, 380, pp.585~587 (2001)
  31. Yano, K., "Quarter-symmetric metric connections and their curvature tensors", Tensor(N. S. ), 38, pp.13~18 (1982)
  32. Yano, K., "On semi-symmetric connection", Revue Roumanie de Mathematiques Pures et appliquees, 15, pp.1579~1586 (1970)
  33. S. Zamkovoy, "Canonical connections on paracontact manifolds", Ann. Global Anal. Geom., 36(1), pp.37~60 (2008)

관련 논문AI추천

Generalized η-Ricci Solitons on Kenmotsu Manifolds associated to the General ConnectionShahroud Azami경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2024 · 제64권 제2호Riemann solitons on certain type of Kenmotsu manifoldAshoke Das, Kanak Kanti Baishya, Manoj Ray Bakshi강원경기수학회 · 한국수학논문집2021 · 제29권 제2호η-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS WITH SOME CURVATURE CONDITIONSAshis Mondal강원경기수학회 · 한국수학논문집2021 · 제29권 제4호GENERALIZED η-RICCI SOLITONS ON PARA-KENMOTSU MANIFOLDS ASSOCIATED TO THE ZAMKOVOY CONNECTIONShahroud Azami대한수학회 · 대한수학회논문집2024 · 제39권 제1호Curvature Properties of η-Ricci Solitons on Para-Kenmotsu ManifoldsAbhishek Singh, Shyam Kishor경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호Almost Ricci Soliton and Gradient Almost Ricci Soliton on $3$-dimensional $f$-Kenmotsu ManifoldsPradip Majhi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제2호

이 간행물의 다른 논문 (19건)

The Cherednik and the Gaussian Cherednik Windowed transforms on $\mathbb{R}^d$ in the W-invariant caseAmina Hassini, Khalifa Trimechepp. 649-671Some description of essential structured approximate and defect pseudospectrumAref Jeribi, Kamel Mahfoudhi, Aymen Ammarpp. 673-697Bounds of Hankel determinants for analytic functionBulent Nafi Ornekpp. 699-715On weighted generalization of opial type inequalities in two variablesArtion Kashuri, Huseyin Budak, Mehmet Zeki Sarikayapp. 717-737A note on almost Ricci soliton and gradient almost Ricci soliton on para-Sasakian manifoldsKrishnendu De, Uday Chand Depp. 739-751
원문 보기