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The gluing formula, conformal scaling, and geometry
- Kirsten, Klaus;
- Lee, Yoonweon
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1초록
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-determinant; BFK-gluing formula; Dirichlet-to-Neumann operator; Scalar and principal curvatures; Heat trace asymptotics
- 제목
- The gluing formula, conformal scaling, and geometry
- 저자
- Kirsten, Klaus; Lee, Yoonweon
- 발행일
- 2021-06
- 유형
- Article
- 권
- 59
- 호
- 4
- 페이지
- 537 ~ 547