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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.9
- 수록면
- 645 - 660 (16page)
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This paper examines the behavior of a 3-dimensional trans-Sasakian manifold equipped with a gradient generalized quasi-Yamabe soliton. In particular, It is shown that α-Sasakian, β-Kenmotsu and cosymplectic manifolds satisfy the gradient generalized quasi-Yamabe soliton equation. Furthermore, in the particular case when the potential vector field ζ of the quasi-Yamabe soliton is of gradient type ζ = grad(ψ), we derive a Poisson's equation from the quasi-Yamabe soliton equation. Also, we study harmonic aspects of quasi-Yamabe solitons on 3-dimensional trans-Sasakian manifolds sharing a harmonic potential function ψ. Finally, we observe that 3-dimensional compact trans-Sasakian manifold admits the gradient generalized almost quasi-Yamabe soliton with Hodge-de Rham potential ψ. This research ends with few examples of quasi-Yamabe solitons on 3-imensional trans-Sasakian manifolds.
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참고문헌 (25)
참고문헌 신청
A. M. Blaga / 2019 / A note on warped product almost quasi-Yamabe solitons / Filomat 33:2009~2016
A. L. Besse / 1987 / Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 10 / Springer-Verlag
D. E. Blair / 1990 / Conformal and related changes of metric on the product of two almost contact metric manifolds / Publ. Mat 34:199~207
Bang-Yen Chen / 2018 / Yamabe and Quasi-Yamabe Solitons on Euclidean Submanifolds / Mediterranean Journal of Mathematics 15(5)
S. Desahmukh / 2018 / A note on Yamabe solitons / Balk. J. Geom. Appl 23(1):37~43
A. L. Besse / 1987 / Einstein manifolds, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol. 10 / Springer-Verlag
D. E. Blair / 1990 / Conformal and related changes of metric on the product of two almost contact metric manifolds / Publ. Mat 34:199~207
Bang-Yen Chen / 2018 / Yamabe and Quasi-Yamabe Solitons on Euclidean Submanifolds / Mediterranean Journal of Mathematics 15(5)
S. Desahmukh / 2018 / A note on Yamabe solitons / Balk. J. Geom. Appl 23(1):37~43
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