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• W2035078312 abstract "Let M be a compact closed n-dimensional manifold. Given a Riemannian metric on M, we consider the zeta function Z(s) for the de Rham Laplacian and the Bochner Laplacian on p-forms. The hessian of Z(s) with respect to variations of the metric is given by a pseudodifferential operator T(s). When the real part of s is less than n/2-1, we compute the principal symbol of T(s). This can be used to determine whether the general critical metric for Z(s) or one of its s derivatives has finite index, or whether it is an essential saddle point." @default.
• W2035078312 created "2016-06-24" @default.
• W2035078312 creator A5020620961 @default.
• W2035078312 creator A5079299474 @default.
• W2035078312 date "2002-11-06" @default.
• W2035078312 modified "2023-09-27" @default.
• W2035078312 title "Hessian of the zeta function for the Laplacian on forms" @default.
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• W2035078312 hasPublicationYear "2002" @default.
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