Bounds on Accumulation Rates of Eigenvalues on Manifolds with Degenerating Metrics
نویسنده
چکیده
We consider a family of manifolds with a class of degenerating warped product metrics gǫ = ρ(ǫ, t) dt + ρ(ǫ, t)2bds2M , with M compact, ρ homogeneous degree one, a ≤ −1 and b > 0. We study the Laplace operator acting on L differential p-forms and give sharp accumulation rates for eigenvalues near the bottom of the essential spectrum of the limit manifold with metric g0.
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تاریخ انتشار 2003