Isoparametric foliation and Yau conjecture on the first eigenvalue, II
نویسندگان
چکیده
منابع مشابه
The First Dirichlet Eigenvalue and the Yang Conjecture ∗
We estimate the lower bound of the first Dirichlet eigenvalue of a compact Riemannian manifold with negative lower bound of Ricci curvature in terms of the diameter and the lower bound of Ricci curvature and give an affirmative answer to the conjecture of H. C. Yang.
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The Laplacian is the second-order operator on functions given by (f) = ?div(grad(f)): As such, it is elliptic, self-adjoint, and is positive semi-deenite. It therefore has an L 2 basis of eigenfunctions and eigenvalues| that is, there are functions fg i g and non-negative numbers f i g such that 1 The collection of f i g's is called the spectrum of. The original interest in the Laplacian and it...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2014
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2014.02.024