Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds

Amalendu Ghosh. "Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds." Annales Polonici Mathematici 115.1 (2015): 33-41. <http://eudml.org/doc/280465>.

@article{AmalenduGhosh2015,
abstract = {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 ≠ 1.},
author = {Amalendu Ghosh},
journal = {Annales Polonici Mathematici},
keywords = {contact metric manifold; Ricci almost soliton; -contact manifold; generalized -quasi-Einstein metric},
language = {eng},
number = {1},
pages = {33-41},
title = {Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds},
url = {http://eudml.org/doc/280465},
volume = {115},
year = {2015},
}

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
VL - 115
IS - 1
SP - 33
EP - 41
AB - 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 ≠ 1.
LA - eng
KW - contact metric manifold; Ricci almost soliton; -contact manifold; generalized -quasi-Einstein metric
UR - http://eudml.org/doc/280465
ER -