Conformal invariants from nodal sets. II. Manifolds with boundary
Graham Cox
Memorial University of Newfoundland, St John's, CanadaDmitry Jakobson
McGill University, Montreal, CanadaMikhail Karpukhin
California Institute of Technology – Caltech, Pasadena, USAYannick Sire
Johns Hopkins University, Baltimore, USA
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Abstract
In this paper, we study conformal invariants that arise from nodal sets and negative eigenvalues of conformally covariant operators on manifolds with boundary. We also consider applications to curvature prescription problems on manifolds with boundary. We relate Dirichlet and Neumann eigenvalues and put the results developed here for the Escobar problem into the more general framework of boundary operators of arbitrary order.
Cite this article
Graham Cox, Dmitry Jakobson, Mikhail Karpukhin, Yannick Sire, Conformal invariants from nodal sets. II. Manifolds with boundary. J. Spectr. Theory 11 (2021), no. 2, pp. 387–409
DOI 10.4171/JST/345