Evolution of eigenvalue of the Wentzell-Laplace operator along the conformal mean curvature flow

In this paper, we investigate continuity, differentiability and monotonicity for the first nonzero eigenvalue of the Wentzell-Laplace operator along the conformal mean curvature flow on n-dimensional compact manifolds with boundary for n >= 3 under a boundary condition. In especial, we show that the first nonzero eigenvalue of the Wentzell-Laplace operator is monotonic under the conformal mean curvature flow and we find some monotonic quantities dependent to the first nonzero eigenvalue along the conformal mean curvature flow.