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A Note on Yamabe Solitons and Gradient Yamabe Solitons
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We set our target to investigate Yamabe solitons, gradient Yamabe solitons andgradient Einstein solitons within the structure of 3-dimensional non-cosymplectic normalalmost contact metric manifolds. Also, we provide a nontrivial example and validate aresult of our paper.
Abstract
We set our target to investigate Yamabe solitons, gradient Yamabe solitons andgradient Einstein solitons within the structure of 3-dimensional non-cosymplectic normalalmost contact metric manifolds. Also, we provide a nontrivial example and validate aresult of our paper.
참고문헌 (12)
- A. M. Blaga, "Some Geometrical Aspects of Einstein, Ricci and Yamabe solitons", J. Geom. Symmetry Phys, 52, pp.17~26 (2019)
- D. E. Blair, "Contact manifolds in Riemannian geometry" (1976), Springer-Verlag
- G. Catino, "Gradient Einstein-solitons", Nonlinear Anal, 132, pp.66~94 (2016)
- K. De, "A note on gradient solitons on para-Kenmotsu manifolds", Int. J. Geom. Methods Mod. Phys, 18(1), pp.11~ (2021)
- Krishnendu De, "Almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in paracontact geometry", Quaestiones Mathematicae, 44(11), pp.1429~1440 (2020), National Inquiry Services Center (NISC)[DOI]
- U. C. De, "Yamabe and quasi-Yamabe solitons in paracontact metric manifolds", Int. J. Geom. Methods Mod. Phys, 18(12), pp.9~ (2021)
- U. C. De, "Ricci solitons and gradient Ricci solitons on 3-dimensional normal almost contact metric manifolds", Publ. Math. Debrecen, 80, pp.127~142 (2012)
- R. S. Hamilton, "Mathematics and general relativity", pp.237~262 (1988), AMS
- L. Vanhecke, "Almost contact structures and curvature tensors", Kodai Math. J, 4(1), pp.1~27 (1981)
- Z. Olszak, "Normal almost contact manifolds of dimension three", Ann. Polon. Math, 47(1), pp.41~50 (1986)
- R. Sharma, "A 3-dimensional Sasakian metric as a Yamabe soliton", Int. J. Geom. Methods Mod. Phys, 9(1), pp.5~ (2012)
- K. Yano, "Integral Formulas in Riemannian Geometry" (1970), Marcel Dekker
관련 논문AI추천
Ricci-Yamabe Solitons and Gradient Ricci-Yamabe Solitons on Kenmotsu 3-manifoldsArpan Sardar, Avijit Sarkar경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제4호Sasakian 3-manifolds admitting a gradient Ricci-Yamabe solitonDibakar Dey강원경기수학회 · 한국수학논문집2021 · 제29권 제3호Generalized Ricci Solitons on N(κ)-contact Metric ManifoldsAvijit Sarkar, Tarak Mandal, Urmila Biswas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제2호Almost Kenmotsu Metrics with Quasi Yamabe SolitonDibakar Dey, Pradip Majhi경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2023 · 제63권 제1호Certain solitons on generalized (Κ, μ) contact metric manifoldsAvijit Sarkar, Pradip Bhakta강원경기수학회 · 한국수학논문집2020 · 제28권 제4호A note on almost Ricci soliton and gradient almost Ricci soliton on para-Sasakian manifoldsKrishnendu De, Uday Chand De강원경기수학회 · 한국수학논문집2020 · 제28권 제4호
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