본문 바로가기
KERD
논문KCI 등재

Riemann solitons on certain type of Kenmotsu manifold

Kanak Kanti Baishya|Manoj Ray Bakshi|Ashoke Das
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2021.06|한국수학논문집 (Korean Journal of Mathematics)|제29권 제2호|pp. 345-353

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

Almost contact metric structure$generelized $D$-conformally deformationRiemann solitonseta $-Einstein manifolds.
주제분류수학

초록

The object of the present paper is to investigate the nature of Riemann solitons on generelized $D$-conformally deformed Kenmotsu manifold with hyper generalized pseudo symmetric curvature conditions.

Abstract

The object of the present paper is to investigate the nature of Riemann solitons on generelized $D$-conformally deformed Kenmotsu manifold with hyper generalized pseudo symmetric curvature conditions.

참고문헌 (24)

  1. P. Alegre, "Generalized Sasakian-space-forms", Israel J. Math, 141(1), pp.157~183 (2004)
  2. K K Baishya, "On hyper generalised weakly symmetric manifolds", Nineteenth International Conference on Geometry, Integrability and Quantization (2017)
  3. K. K. Baishya, "On almost generalized weakly symmetric Ken-motsu manifolds", Acta Univ. Palacki. Olomuc., Fac. rer. nat. Mathematica, 55(2), pp.5~15 (2016)
  4. M. R. Bakshi, "Certain types of(LCS)n-manifolds and the case of Riemann solitons", Differential Geometry-Dynamical Systems, 22, pp.11~25 (2020)
  5. M. R. Bakshi, "Four classes of Riemann solitons on alpa-cosymplectic mani-folds", Afrika Matematika[DOI]
  6. M. R. Bakshi, "Ricci solitons in a hyper gener-alized pseudo symmetric D-homothetically deformed Kenmotsu manifold", ~
  7. Ashis Biswas, "η-RICCI SOLITONS ON KENMOTSU MANIFOLDS ADMITTING GENERAL CONNECTION", 한국수학논문집, 28(4), pp.803~817 (2020), 강원경기수학회
  8. A. M. Blaga, "Hyper generalized pseudo Q-symmetric semi-Riemanian manifold", Cubo, A Mathematical Journal, 23(1), pp.87~96 (2021)
  9. K. K. Baishya, "On Generalized Weakly Symmetric Kenmotsu Manifolds", Bol. Soc. Paran. Mat, (3s.), 39(6), pp.211~222 (2021)
  10. A. M. Blaga, "Ricci solitons in a generalized weakly(Ricci)sym-metric D-homothetically deformed Kenmotsu manifold", Ann. Univ. Paedagog. Crac. Stud. Math, 18, pp.123~136 (2019)
  11. D. E. Blair, "Contact Manifolds in Riemannian Geometry" (1976), Springer-Verlag
  12. M. C. Chaki, "On pseudo symmetric manifolds", Analele Stiintifice ale Universitatii"Al I. Cuza"din Iasi, 33, pp.53~58 (1987)
  13. R. S. Hamilton, "The Ricci flow on surfaces", Contemp. Math, 71, pp.237~261 (1988)
  14. R. S. Hamilton, "Three-manifolds with positive Ricci curvature", J. Diff. Geom, 17, pp.255~306 (1982)
  15. K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tohoku Math. J, 24, pp.93~103 (1972)
  16. Tanno, S, "The topology of contact Riemannian manifolds", Illinois J. Math, 12, pp.700~717 (1968)
  17. R. S. Hamilton, "Mathematics and general relativity", pp.237~262 (1988), American Math. Soc
  18. I. E. Hirica, "Ricci and Riemann solitons", Balkan J. Geom. Applications, 21(2), pp.35~44 (2016)
  19. C. Udriste, "Riemann flow and Riemann wave via bialternate product Riemannian metric", arXiv. org, 1112. 4279v4, pp.2012, ~
  20. C. Udriste, "Riemann flow and Riemann wave", Ann. Univ. Vest, Timisoara. Ser. Mat. Inf, 48(1-2), pp.265~274 (2010)
  21. Nulifer Ozdemir, "On generalized D-conformal deformations of certain almost contact metric manifolds", Mathematics, pp.0700168~ (2019)
  22. Nagaraja, H.G, "Ricci Solitons in Kenmotsu Manifold under Generalized D-Conformal Deformation", Lobachevskii J Math, 40, pp.195~200 (2019)[DOI]
  23. HG Nagaraja, "Ricci solitons on Kenmotsu manifolds under D-homothetic deformation", Khayyam J. Math, 4(1), pp.102~109 (2018)
  24. T. Suguri, "D-conformal deformations on almost contact metric struc-ture", Tensor(N. S. ), 28, pp.125~129 (1974)

관련 논문AI추천

η-RICCI SOLITONS ON KENMOTSU MANIFOLDS ADMITTING GENERAL CONNECTIONAshis Biswas, Ashoke Das, Kanak Kanti Baishya, Manoj Ray Bakshi강원경기수학회 · 한국수학논문집2020 · 제28권 제4호Soliton functions and Ricci curvatures of $D$-homothetically deformed $f$-Kenmotsu almost Riemann solitonsAvijit Sarkar, Urmila Biswas대한수학회 · 대한수학회논문집2023 · 제38권 제4호Almost Ricci Soliton and Gradient Almost Ricci Soliton on $3$-dimensional $f$-Kenmotsu ManifoldsPradip Majhi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제2호Certain results on three-dimensional $f$-Kenmotsu manifolds with conformal Ricci solitonsTarak Mandal강원경기수학회 · 한국수학논문집2022 · 제30권 제1호Curvature Properties of η-Ricci Solitons on Para-Kenmotsu ManifoldsAbhishek Singh, Shyam Kishor경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호Certain results on almost Kenmotsu manifolds with conformal Reeb foliationGopal Ghosh, Pradip Majhi대한수학회 · 대한수학회논문집2018 · 제33권 제1호

이 간행물의 다른 논문 (19건)

Some sequence spaces over $n$-normed spaces defined by fractional difference operator and Musielak-Orlicz functionQamaruddin, M. Mursaleen, Sunil K. Sharmapp. 211-225On Opial-type inequalities via a new generalized integral operatorGhulam Farid, Yasir Mehboobpp. 227-237Few results on relative $(k,n)$ Valiron defects from the view points of integrated moduli of logarithmic derivative of entire and meromorphic functionsAshima Bandyopadhyay, Sanjib Kumar Datta, Sukalyan Sarkar, Lakshmi Biswaspp. 239-252Bessel-Wright transform in the setting of quantum calculusMeniar Haddad, Wafa Binous, Ilyes Karoui, Lazhar Dhaouadipp. 253-266On the reduction of an Iwasawa module오장헌pp. 267-269
원문 보기