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Generalized Ricci Solitons on N(κ)-contact Metric Manifolds

Urmila Biswas|Avijit Sarkar|Tarak Mandal
경북대학교 자연과학대학 수학과|2023.06|Kyungpook Mathematical Journal|제63권 제2호|pp. 313-324|DOI 10.5666/KMJ.2023.63.2.313

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키워드

Ricci solitonsNullity distributioncontact manifoldsN(κ)-contact metric man ifoldsgeneralized Ricci solitons
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초록

In the present paper, we study generalized Ricci solitons on N(κ)-contact metric manifolds, in particular, we consider when the potential vector field is the concircu lar vector field. We also consider generalized gradient Ricci solitons, and verify our results with an example.

Abstract

In the present paper, we study generalized Ricci solitons on N(κ)-contact metric manifolds, in particular, we consider when the potential vector field is the concircu lar vector field. We also consider generalized gradient Ricci solitons, and verify our results with an example.

참고문헌 (14)

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  3. D. E. Blair, "Contact metric manifolds satis-fying a nullity condition", Israel J. Math, 91, pp.189~214 (1995)
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  5. U. C. De, "On a class of N()-contact metric manifolds", Math. Reports, 16(66), pp.207~217 (2014)
  6. G. Ghosh, "Generalized Ricci solitons on K-contact manifolds", Math. Sci. Appl. E-Notes, 8(2), pp.165~169 (2020)
  7. G. Ghosh, "Generalized Ricci solitons on contact metric manifolds", Afr. Mat, 33, pp.1~6 (2022)
  8. R. S. Hamilton, "The Ricci flow on Surfaces", Contemp. Math, 71, pp.237~262 (1988)
  9. H. A. Kumara, "Geometry of generalized Ricci-type solitons on a class of Riemannian manifolds", J. Geom. Phys, 176, pp.7~ (2022)
  10. P. Nurowski, "Generalized Ricci solitons", J. Geom. Anal, 26, pp.1280~1345 (2016)
  11. A. Sarkar, "η-Ricci solitons on N(κ)-contact metric manifolds", Filomat, 35(11), pp.3879~3889 (2021)
  12. S. Tanno, "The topology of contact Riemannian manifolds", Illinois J. Math, 12, pp.700~717 (1968)
  13. M. Turan, "Ricci solitons and gradient Ricci solitons in three-dimensional trans-Sasakian manifolds", Filomat, 26(2), pp.363~370 (2012)
  14. K. Yano, "Integral formulas in Riemannian Geometry" (1970), Marcel Dekker

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