Conformal metrics of the ball with constant $\ddot{I}{ƒ}_k$-curvature and constant boundary mean curvature

Xuezhang Chen, Wei Wei

On the upper hemisphere, we use the Obata-Escobar argument to classify conformal metrics with constant $\ddot{I}{ƒ}_k$ curvature and constant boundary mean curvature in all types of cones i…