A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors

• Autorzy: Yaning Wang
• Języki publikacji: EN

Abstrakty

EN

Let M3 be a three-dimensional almost Kenmotsu manifold satisfying ▽ξh = 0. In this paper, we prove that the curvature tensor of M3 is harmonic if and only if M3 is locally isometric to either the hyperbolic space ℍ3(-1) or the Riemannian product ℍ2(−4) × ℝ. This generalizes a recent result obtained by [Wang Y., Three-dimensional locally symmetric almost Kenmotsu manifolds, Ann. Polon. Math., 2016, 116, 79-86] and [Cho J.T., Local symmetry on almost Kenmotsu three-manifolds, Hokkaido Math. J., 2016, 45, 435-442].

Słowa kluczowe

EN

Almost Kenmotsu manifold; Harmonic curvature tensor; Lie group; (k, μ, ν)-nullity condition

Kategorie tematyczne

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

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 977-985

Daty

wydano

2016-01-01

otrzymano

2016-05-06

zaakceptowano

2016-10-27

online

2016-12-10

Twórcy

autor

Yaning Wang

• Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control, School of Mathematics and Information Sciences, Henan Normal University, Xinxiang 453007, Henan,

Identyfikatory

DOI

10.1515/math-2016-0088