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Linear approximation of the first eigenvalue on compact manifolds

Linear approximation of the first eigenvalue on compact manifolds
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摘要 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. 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.
出处 《Science China Mathematics》 SCIE 2002年第4期450-461,共12页 中国科学:数学(英文版)
基金 This work was supported in part by the National Natural Science Foundation of China (Grant No. 19631060) the 973 Project, the Research Fund for the Doctoral Program of Higher Education, Consiglio Nazionale delle Ricerche(Italy) and University of Rome I
关键词 FIRST eigenvalue RIEMANNIAN manifolds LINEAR approximation. first eigenvalue Riemannian manifolds linear approximation
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参考文献7

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