Linear approximation of the first eigenvalue on compact manifolds

• 作 者: 陈木法
• 机 构: Department of Mathematics,Dipartimento di Matematica
• 出 处: 中国科学A辑
• 发表日期: 2004年期
• 关键词: first eigenvalue Riemannian manifolds linear approximation

For compact, connected Riemannian manifolds with Ricci curvature bounded below by a constant, what is the linear approximation of the first eigenvalue of Laplacian? The answer is presented with computer assisted proof and the result is optimal in certain sense.