• Kyungpook Mathematical Journal
• /
• 제62권1호
• /
• pp.179-191
• /
• 2022

We set our target to investigate Yamabe solitons, gradient Yamabe solitons and gradient Einstein solitons within the structure of 3-dimensional non-cosymplectic normal almost contact metric manifolds. Also, we provide a nontrivial example and validate a result of our paper.

• 한국광학회지
• /
• 제5권2호
• /
• pp.238-244
• /
• 1994

광솔리톤의 진행을 기술하는 비선형 쉬뢰딩거 방정식의 전산시늉으로 진폭과 위상의 초기조건에 따른 어두운 솔리톤의 진행특성을 연구하였다. 진행거리가 증가함에 따라 홀대칭 어두운 솔리톤은 하나의 검은 솔리톤과 어두운 정도의 부호가 서로 다른 잿빛 솔리톤의 쌍들로 분리되고 짝대칭 어두운 솔리톤은 검은 솔리톤 없이 잿빛 솔리톤의 쌍들로 분리된다. 검은 솔리톤과 잿빛 솔리톤이 인접하여 상호작용하는 경우 초기 진폭 형태는 같더라도 잿빛 솔리톤의 어두운 정도의 부호에 따라서 충돌 여부가 결정된다. 어두운 솔리톤에서는 어두운 정도에 따라 임의의 솔리톤을 형성할 수 있기 때문에 어두운 솔리톤의 에너지는 어두운 정도가 다른 어두운 솔리톤들로 분리됨을 진폭의 변화보다는 위상의 변화로부터 더 자세히 알 수 있었다.

• Korean Journal of Mathematics
• /
• 제29권4호
• /
• pp.705-714
• /
• 2021

In the present paper, we study 𝜂-Ricci solitons on para-Kenmotsu manifolds with Codazzi type of the Ricci tensor. We study 𝜂-Ricci solitons on para-Kenmotsu manifolds with cyclic parallel Ricci tensor. We also study 𝜂-Ricci solitons on 𝜑-conformally semi-symmetric, 𝜑-Ricci symmetric and conformally Ricci semi-symmetric para-Kenmotsu manifolds. Finally, we construct an example of a three-dimensional para-Kenmotsu manifold which admits 𝜂-Ricci solitons.

• Korean Journal of Mathematics
• /
• 제24권4호
• /
• pp.627-636
• /
• 2016

In this paper, we study Ricci solitons, gradient Ricci solitons in the warped product spaces and gradient Yamabe solitons in the Riemannian product spaces. We obtain the necessary and sufficient conditions for the Riemannian product spaces to be Ricci solitons. Moreover we classify the warped product space which admit gradient Ricci solitons under some conditions of the potential function.

• 충청수학회지
• /
• 제33권2호
• /
• pp.219-226
• /
• 2020

In this paper, we consider gradient Ricci solitons and gradient Yamabe solitons in the warped product spaces. Also we study warped product space with harmonic curvature related to gradient Ricci solitons and gradient Yamabe solitons. Consequently some theorems are generalized and we derive differential equations for a warped product space to be a gradient Ricci soliton.

• 호남수학학술지
• /
• 제44권2호
• /
• pp.231-243
• /
• 2022

In the present paper we study the properties of α-cosymplectic manifolds endowed with *-conformal η-Ricci solitons and gradient *-conformal η-Ricci solitons.

• Kyungpook Mathematical Journal
• /
• 제63권2호
• /
• pp.313-324
• /
• 2023

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 concircular vector field. We also consider generalized gradient Ricci solitons, and verify our results with an example.

• 호남수학학술지
• /
• 제43권1호
• /
• pp.115-122
• /
• 2021

In this current article, we intend to investigate k-almost Yamabe and gradient k-almost Yamabe solitons inside the setting of three-dimensional Kenmotsu manifolds.

• Kyungpook Mathematical Journal
• /
• 제62권4호
• /
• pp.737-749
• /
• 2022

We investigate the geometric properties of 𝜂_*-Ricci solitons on α-Lorentzian Sasakian (α-LS) manifolds, and show that a Ricci semisymmetric 𝜂_*-Ricci soliton on an α-LS manifold is an 𝜂_*-Einstein manifold. Further, we study 𝜑_*-symmetric 𝜂_*-Ricci solitons on such manifolds. We prove that 𝜑_*-Ricci symmetric 𝜂_*-Ricci solitons on an α-LS manifold are also 𝜂_*-Einstein manifolds and provide an example of a 3-dimensional α-LS manifold for the existence of such solitons.

• 대한수학회논문집
• /
• 제38권3호
• /
• pp.865-880
• /
• 2023

The main intention of the current paper is to characterize certain properties of *-conformal Ricci solitons on non-coKähler (𝜅, 𝜇)-almost coKähler manifolds. At first, we find that there does not exist *-conformal Ricci soliton if the potential vector field is the Reeb vector field θ. We also prove that the non-coKähler (𝜅, 𝜇)-almost coKähler manifolds admit *-conformal Ricci solitons if the potential vector field is the infinitesimal contact transformation. It is also studied that there does not exist *-conformal gradient Ricci solitons on the said manifolds. An example has been constructed to verify the obtained results.