Cox, Graham;
Jakobson, Dmitry;
Karpukhin, Mikhail;
Sire, Yannick;
(2021)
Conformal invariants from nodal sets. II. Manifolds with boundary.
Journal of Spectral Theory
, 11
(2)
pp. 387-409.
10.4171/jst/345.
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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.
| Type: | Article |
|---|---|
| Title: | Conformal invariants from nodal sets. II. Manifolds with boundary |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4171/jst/345 |
| Publisher version: | https://doi.org/10.4171/jst/345 |
| Language: | English |
| Additional information: | © 2021 European Mathematical Society Published by EMS Press This work is licensed under a CC BY 4.0 license. |
| Keywords: | Spectral geometry, conformal geometry, nodal sets, manifolds with boundary |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10201299 |
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