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Determinants of Laplacians on Surfaces,esult the study of this quantity and in particular its dependence on the metric, has been very productive. Our aim here is to review some recent developments in one aspect of this subject and to point out a number of unexpected relationships. Many of the results and ideas discussed here were obtaine评论者 发表于 2025-3-28 02:43:46
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The Curve Shortening Flow,odesic curvature and N the unit normal vector. We review the work of Gage on isoperimetric inequalities, the work of Gage and Hamilton on the associated heat equation and the work of Epstein and Weinstein on the stable manifold theorem for immersed curves. Finally we include a new proof of the Bonne变色龙 发表于 2025-3-28 12:52:02
,Lax’s Construction of Parametrices of Fundamental Solutions of Strongly Hyperbolic Operators, its Py initial value problems’. It was one of the first signs that the aera of microlocal analysis was approaching. In this lecture I will try to look at Lax’s paper in the context of what was before and what came after.