We study certain contact metrics satisfying the Miao-Tam critical condition. First, we prove that a complete K-contact metric satisfying the Miao-Tam critical condition is isometric to the unit sphere . Next, we study (κ,μ)-contact metrics satisfying the Miao-Tam critical condition.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap3704-11-2015,
author = {Dhriti Sundar Patra and Amalendu Ghosh},
title = {Certain contact metrics satisfying the Miao-Tam critical condition},
journal = {Annales Polonici Mathematici},
volume = {116},
year = {2016},
pages = {263-271},
zbl = {06586887},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3704-11-2015}
}
Dhriti Sundar Patra; Amalendu Ghosh. Certain contact metrics satisfying the Miao-Tam critical condition. Annales Polonici Mathematici, Tome 116 (2016) pp. 263-271. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3704-11-2015/