In this paper, we give a sharp lower bound for the first(nonzero) p-eigenvalue on a compact Finsler manifold M without boundary or with convex boundary if the weighted Ricci curvature RicciNis bounded from below by a ...In this paper, we give a sharp lower bound for the first(nonzero) p-eigenvalue on a compact Finsler manifold M without boundary or with convex boundary if the weighted Ricci curvature RicciNis bounded from below by a constant K in terms of the diameter d of a manifold, dimension, K, p and N. In particular, if RicciNπis non-negative, then the first p-eigenvalue is bounded from below by(p-1)(~πp/d)p, and the equality holds if and only if M is either a circle or a segment.展开更多
基金supported by National Natural Science Foundation of China (Grant No. 11671352)Zhejiang Provincial National Science Foundation of China (Grant No. LY19A010021)
文摘In this paper, we give a sharp lower bound for the first(nonzero) p-eigenvalue on a compact Finsler manifold M without boundary or with convex boundary if the weighted Ricci curvature RicciNis bounded from below by a constant K in terms of the diameter d of a manifold, dimension, K, p and N. In particular, if RicciNπis non-negative, then the first p-eigenvalue is bounded from below by(p-1)(~πp/d)p, and the equality holds if and only if M is either a circle or a segment.
