Numerical evaluation of spherical GJMS determinants
J.S.Dowker
TL;DR
This paper provides a numerical integral expression for the determinant of the scalar GJMS operator on odd-dimensional spheres, revealing a sum formula relating it to the conformal Laplacian's determinants in various dimensions.
Contribution
It introduces a novel numerical integral formula for GJMS determinants and uncovers a new sum relation involving conformal Laplacian determinants across dimensions.
Findings
Numerical integral expression for GJMS determinants.
Sum formula linking GJMS and conformal Laplacian determinants.
Graphical representations illustrating the results.
Abstract
A numerical expression in the form of an integral is given for the determinant of the scalar GJMS operator on an odd--dimensional sphere. Manipulation yields a curious sum formula for the logdet in terms of the logdets of the ordinary conformal Laplacian for other dimensions. A few graphs are drawn.
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Taxonomy
TopicsRadiative Heat Transfer Studies