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/