Geodesic
Cotton tensors on almost coKähler 3-manifolds
Yaning Wang1
1Henan 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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
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
@article{10_4064_ap170410_3_10,
     author = {Yaning Wang},
     title = {Cotton tensors on almost {coK\"ahler} 3-manifolds},
     journal = {Annales Polonici Mathematici},
     pages = {135--148},
     year = {2017},
     volume = {120},
     number = {2},
     doi = {10.4064/ap170410-3-10},
     language = {de},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap170410-3-10/}
}
TY  - JOUR
AU  - Yaning Wang
TI  - Cotton tensors on almost coKähler 3-manifolds
JO  - Annales Polonici Mathematici
PY  - 2017
SP  - 135
EP  - 148
VL  - 120
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap170410-3-10/
DO  - 10.4064/ap170410-3-10
LA  - de
ID  - 10_4064_ap170410_3_10
ER  - 
%0 Journal Article
%A Yaning Wang
%T Cotton tensors on almost coKähler 3-manifolds
%J Annales Polonici Mathematici
%D 2017
%P 135-148
%V 120
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap170410-3-10/
%R 10.4064/ap170410-3-10
%G de
%F 10_4064_ap170410_3_10

Cité par Sources :