Ricci solitons on almost Kenmotsu 3-manifolds

• Autorzy: Yaning Wang
• Języki publikacji: EN

Abstrakty

EN

Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton whose potential vector field is orthogonal to the Reeb vector field, then M3 is locally isometric to either the hyperbolic space ℍ3(−1) or a non-unimodular Lie group equipped with a left invariant non-Kenmotsu almost Kenmotsu structure. In particular, when g represents a gradient Ricci soliton whose potential vector field is orthogonal to the Reeb vector field, then M3 is locally isometric to either ℍ3(−1) or ℍ2(−4) × ℝ.

Słowa kluczowe

EN

Almost Kenmotsu 3-manifold; Ricci soliton; Non-unimodular Lie group

Kategorie tematyczne

• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53D15: Almost contact and almost symplectic manifolds

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1236-1243

Daty

wydano

2017-01-01

otrzymano

2017-03-24

zaakceptowano

2017-08-22

online

2017-10-05

Twórcy

autor

Yaning Wang

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Identyfikatory

DOI

10.1515/math-2017-0103