Geodesic
Generalized $m$-quasi-Einstein metric within the framework of Sasakian and $K$-contact manifolds
Amalendu Ghosh1
1 Department of Mathematics Chandernagore College Chandannagar 712 136, W.B., India
Annales Polonici Mathematici, Tome 115 (2015) no. 1, pp. 33-41

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

We consider generalized $m$-quasi-Einstein metric within the framework of Sasakian and $K$-contact manifolds. First, we prove that a complete Sasakian manifold $M$ admitting a generalized $m$-quasi-Einstein metric is compact and isometric to the unit sphere $S^{2n+1}$. Next, we generalize this to complete $K$-contact manifolds with $m \not =1$.
DOI : 10.4064/ap115-1-3
Keywords: consider generalized m quasi einstein metric within framework sasakian k contact manifolds first prove complete sasakian manifold admitting generalized m quasi einstein metric compact isometric unit sphere generalize complete k contact manifolds

Amalendu Ghosh 1

1 Department of Mathematics Chandernagore College Chandannagar 712 136, W.B., India 
@article{10_4064_ap115_1_3,
     author = {Amalendu Ghosh},
     title = {Generalized $m${-quasi-Einstein} metric within
 the framework of {Sasakian} and $K$-contact manifolds},
     journal = {Annales Polonici Mathematici},
     pages = {33--41},
     publisher = {mathdoc},
     volume = {115},
     number = {1},
     year = {2015},
     doi = {10.4064/ap115-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap115-1-3/}
}
TY  - JOUR
AU  - Amalendu Ghosh
TI  - Generalized $m$-quasi-Einstein metric within
 the framework of Sasakian and $K$-contact manifolds
JO  - Annales Polonici Mathematici
PY  - 2015
SP  - 33
EP  - 41
VL  - 115
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap115-1-3/
DO  - 10.4064/ap115-1-3
LA  - en
ID  - 10_4064_ap115_1_3
ER  - 
%0 Journal Article
%A Amalendu Ghosh
%T Generalized $m$-quasi-Einstein metric within
 the framework of Sasakian and $K$-contact manifolds
%J Annales Polonici Mathematici
%D 2015
%P 33-41
%V 115
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap115-1-3/
%R 10.4064/ap115-1-3
%G en
%F 10_4064_ap115_1_3
Amalendu Ghosh. Generalized $m$-quasi-Einstein metric within
 the framework of Sasakian and $K$-contact manifolds. Annales Polonici Mathematici, Tome 115 (2015) no. 1, pp. 33-41. doi: 10.4064/ap115-1-3

Cité par Sources :