Geodesic
Cotton tensors on almost coKähler 3-manifolds
Yaning Wang1
1 Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Mathematics and Information Sciences Henan Normal University Xinxiang 453007, Henan, P.R. China
Annales Polonici Mathematici, Tome 120 (2017) no. 2, pp. 135-148 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let $M^3$ be an almost coKähler $3$-manifold whose Reeb vector field defines a harmonic map. We prove that if the Cotton tensor of $M^3$ vanishes, then $M^3$ is locally isometric to the product $\mathbb {R}\times N^2(c)$, where $N^2(c)$ denotes a Kähler surface of constant curvature $c$. We construct some examples illustrating our main results.
DOI : 10.4064/ap170410-3-10
Mots-clés : almost cok hler manifold whose reeb vector field defines harmonic map prove cotton tensor vanishes locally isometric product mathbb times where denotes hler surface constant curvature construct examples illustrating main results

Yaning Wang 1

1 Henan Engineering Laboratory for Big Data Statistical Analysis and Optimal Control School of Mathematics and Information Sciences Henan Normal University Xinxiang 453007, Henan, P.R. China 
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     title = {Cotton tensors on almost {coK\"ahler} 3-manifolds},
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Yaning Wang. Cotton tensors on almost coKähler 3-manifolds. Annales Polonici Mathematici, Tome 120 (2017) no. 2, pp. 135-148. doi: 10.4064/ap170410-3-10

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