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Certain contact metrics satisfying the Miao-Tam critical condition

Dhriti Sundar Patra; Amalendu Ghosh — 2016

Annales Polonici Mathematici

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 $S^{2 n + 1}$ . Next, we study (κ,μ)-contact metrics satisfying the Miao-Tam critical condition.

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