Boundary operators associated to the σ k -curvature

Research output: Contribution to journalArticle

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Abstract

We study conformal deformation problems on manifolds with boundary which include prescribing σ k ≡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
Volume337
DOIs
StatePublished - Oct 15 2018

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Conformal Deformation
Multilinear Operators
Hemisphere
Manifolds with Boundary
Dirichlet
Interior
Curvature
Metric
Operator
Theorem

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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title = "Boundary operators associated to the σ k -curvature",
abstract = "We study conformal deformation problems on manifolds with boundary which include prescribing σ k ≡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.",
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Boundary operators associated to the σ k -curvature . / Case, Jeffrey Steven; Wang, Yi.

In: Advances in Mathematics, Vol. 337, 15.10.2018, p. 83-106.

Research output: Contribution to journalArticle

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