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A Polyakov Formula for Sectors

We consider finite area convex Euclidean circular sectors. We prove a variational Polyakov formula which shows how the zeta-regularized determinant of the Laplacian varies with respect to the opening angle. Varying the angle corresponds to a conformal deformation in the direction of a conformal fact...

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Detalles Bibliográficos
Autores principales: Aldana, Clara L., Rowlett, Julie
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6294191/
https://www.ncbi.nlm.nih.gov/pubmed/30839914
http://dx.doi.org/10.1007/s12220-017-9888-y