Tracking Eigenvalues to the Frontier of Moduli Space Ii: Limits for Eigenvalue Branches
نویسنده
چکیده
Let I ⊂ R be a compact interval symmetric about 0. Let M and N , be compact oriented smooth manifolds of dimensions d and d+1 respectively. We suppose that we have an embedded copy of I ×M inside of N . (See Figure 1). Let N denote the complement of the hypersurface {0} ×M . We consider families ǫ → g(ǫ) of Riemannian metric (tensors) on N each of whose restriction to I ×M is a warped product of the following form g(ǫ)|I×M = ρ(ǫ, t) dt + ρ(ǫ, t) h. (1)
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