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*-Ricci Soliton on (κ < 0, µ)-almost Cosymplectic Manifolds

Savita Rani|Ram Shankar Gupta
경북대학교 자연과학대학 수학과|2022.06|Kyungpook Mathematical Journal|제62권 제2호|pp. 333-345|DOI https://doi.org/10.5666/KMJ.2022.62.2.333

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참고문헌

키워드

(κ*-Ricci solitonμ)-almost cosymplectic manifoldsNullity distributionTorse forming vector field
주제분류수학

초록

We study *-Ricci solitons on non-cosymplectic (κ, μ)-acs (almost cosymplec-tic) manifolds M. We find *-solitons that are steady, and such that both the scalarcurvature and the divergence of the potential field is negative. Further, we study concurrent, concircular, torse forming and torqued vector fields on M admitting Ricci and*-Ricci solitons. Also, we provide some examples.

Abstract

We study *-Ricci solitons on non-cosymplectic (κ, μ)-acs (almost cosymplec-tic) manifolds M. We find *-solitons that are steady, and such that both the scalarcurvature and the divergence of the potential field is negative. Further, we study concurrent, concircular, torse forming and torqued vector fields on M admitting Ricci and*-Ricci solitons. Also, we provide some examples.

참고문헌 (23)

  1. D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds" (2010), Birkhäuser
  2. D. E. Blair, "Contact metric manifolds satisfying a nullity distribution", Israel J. Math, 91, pp.189~214 (1995)
  3. E. Boeckx, "A full classification of contact metric (κ, µ)-spaces", Illinois J. Math, 44(1), pp.212~219 (2000)
  4. B. Cappelletti-Montano, "A survey on cosymplectic geometry", Rev. Math. Phys, 25(10), pp.55~ (2013)
  5. A. Carriazo, "Generalized (κ, µ)-space forms and Da-homothetic deformations", Balkan J. Geom. Appl, 16(1), pp.37~47 (2011)
  6. B. Y. Chen, "Rectifying submanifolds of Riemannian manifolds and torqued vector fields", Kragujevac J. Math, 41(1), pp.93~103 (2017)
  7. X. Chen, "Einstein-Weyl structures on almost cosymplectic manifolds", Period. Math. Hungar, 79(2), pp.191~203 (2019)
  8. J. T. Cho, "Ricci solitons and real hypersurfaces in a complex space form", Tohoku Math. J, 61, pp.205~212 (2009)
  9. X. Dai, "Non-existence of ∗-Ricci solitons on (κ, µ)-almost cosymplectic mani-folds", J. Geom, 110(2), pp.7~ (2019)
  10. Uday Chand De, "Classification of $(k,\mu)$-almost co-K\"{a}hler manifolds with vanishing Bach tensor and divergence free Cotton tensor", 대한수학회논문집, 35(4), pp.1245~1254 (2020), 대한수학회[DOI]
  11. H. Endo, "Non-existence of almost cosymplectic manifolds satisfying a certain condition", Tensor (N.S.), 63(3), pp.272~284 (2002)
  12. A. Ghosh, "Classification of (κ, µ)-contact manifolds with di-vergence free Cotton tensor and vanishing Bach tensor", Ann. Polon. Math, 122(2), pp.153~163 (2019)
  13. T. Hamada, "Real hypersurfaces of complex space forms in terms of Ricci ∗-tensor", Tokyo J. Math, 25, pp.473~483 (2002)
  14. R. S. Hamilton, "The Ricci flow on surfaces", Contemp. Math, 71, pp.237~261 (1988)
  15. G. Kaimakamis, "∗-Ricci solitons of real hypersurfaces in non-flat complex space forms", J. Geom. Phys, 86, pp.408~413 (2014)
  16. T. Koufogiorgos, "On the existence of a new class of contact metric manifolds", Canad. Math. Bull, 43(4), pp.400~447 (2000)
  17. T. Koufogiorgos, "The harmonicity of the Reeb vector fields on contact metric 3-manifolds", Pacific J. Math, 234(2), pp.325~344 (2008)
  18. R. Sharma, "Certain results on K-contact and (κ, µ)-contact manofolds", J. Geom, 89, pp.138~147 (2008)
  19. R. Sharma, "Conformal classification of (κ, µ)-contact mani-folds", Kodai Math. J, 33, pp.267~282 (2010)
  20. Y. J. Suh, "Yamabe solitons and Ricci solitons on almost co-Kahler manifolds", Canad. Math. Bull, 62(3), pp.653~661 (2019)
  21. S. Tachibana, "On almost-analytic vectors in almost-Kahlerian manifolds", To-hoku Math. J, 11, pp.247~265 (1959)
  22. K. Yano, "On torse forming direction in a Riemannian space", Proc. Imp. Acad. Tokyo, 20, pp.340~345 (1944)
  23. K. Yano, "Integral formulas in Riemannian geometry" (1970), Marcel Dekker

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