The gluing formula, conformal scaling, and geometry

The gluing formula, conformal scaling, and geometry

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 manif...

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Veröffentlicht in:Annals of global analysis and geometry 2021-06, Vol.59 (4), p.537-547
Hauptverfasser: Kirsten, Klaus, Lee, Yoonweon
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Conformal mapping
Differential Geometry
Dirichlet problem
Geometry
Global Analysis and Analysis on Manifolds
Gluing
Mathematical Physics
Mathematics
Mathematics and Statistics
Physical Sciences
Science & Technology
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Beschreibung
Zusammenfassung: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.
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-021-09763-8