Boundary operators associated to the σk-curvature

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We study conformal deformation problems on manifolds with boundary which include prescribing σk≡0 in the interior. In particular, we prove a Dirichlet principle when the induced metric on the boundary is fixed and an Obata-type theorem on the upper hemisphere. We introduce some conformally covariant multilinear operators as a key technical tool.

Original languageEnglish (US)
Pages (from-to)83-106
Number of pages24
JournalAdvances in Mathematics
StatePublished - Oct 15 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


Dive into the research topics of 'Boundary operators associated to the σk-curvature'. Together they form a unique fingerprint.

Cite this