Certain contact metrics satisfying the Miao-Tam critical condition

• Autorzy: Dhriti Sundar Patra , Amalendu Ghosh
• Języki publikacji: EN

Abstrakty

EN

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

Kategorie tematyczne

• 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions
• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53D15: Almost contact and almost symplectic manifolds

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 116
• Numer: 3
• Strony: 263-271

Daty

wydano

2016

Twórcy

autor

Dhriti Sundar Patra

• Department of Mathematics, Jadavpur University, Kolkata 700 032, India

autor

Amalendu Ghosh

• Department of Mathematics, Chandernagore College, Chandannagar 712 136, W.B., India

Identyfikatory

DOI

10.4064/ap3704-11-2015