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Author Canzani, Yaiza ♦ Gover, A. Rod ♦ Jakobson, Dmitry ♦ Ponge, Raphaël
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Conformally Invariant Operator ♦ Prescription Problem ♦ Gjms Operator ♦ New Application ♦ Conformal Invariant ♦ Many Metric ♦ Nodal Set ♦ Covariant Differential Operator ♦ Nodal Domain
Abstract Abstract. We study conformal invariants that arise from functions in the nullspace of conformally covariant differential operators. The invariants include nodal sets and the topology of nodal domains of eigenfunctions in the kernel of GJMS operators. We establish that on any manifold of dimension n ≥ 3, there exist many metrics for which our invariants are nontrivial. We discuss new applications to curvature prescription problems.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 2012-01-01