The gluing formula, conformal scaling, and geometry

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초록

We exploit conformal transformations of gluing formulas to realize connections between zeta functions of Laplacians and associated Dirichlet-to-Neumann map zeta functions. Furthermore, the geometric content in gluing formulas is identified and explicit results are given for a three-dimensional manifold.

키워드

Regularized zeta-determinantBFK-gluing formulaDirichlet-to-Neumann operatorScalar and principal curvaturesHeat trace asymptotics
제목
The gluing formula, conformal scaling, and geometry
저자
Kirsten, KlausLee, Yoonweon
DOI
10.1007/s10455-021-09763-8
발행일
2021-06
유형
Article
저널명
Annals of Global Analysis and Geometry
59
4
페이지
537 ~ 547