Connected sum construction of constant Q-curvature manifolds in higher dimensions

Yueh Ju Lin

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

For a compact Riemannian manifold (M, g2) with constant Q-curvature of dimension n≥6 satisfying nondegeneracy condition, we show that one can construct many examples of constant Q-curvature manifolds by gluing construction. We provide a general procedure of gluing together (M, g2) with any compact manifold (N, g1) satisfying a geometric assumption. In particular, we can prove that there exists a metric with constant Q-curvature on the connected sum N#M.

Original languageEnglish (US)
Pages (from-to)290-320
Number of pages31
JournalDifferential Geometry and its Application
Volume40
DOIs
StatePublished - Jun 1 2015

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology
  • Computational Theory and Mathematics

Keywords

  • Conformal geometry
  • Connected sum
  • Paneitz operator
  • Q-curvature

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