Lp-Analysis of the Hodge–Dirac Operator Associated with Witten Laplacians on Complete Riemannian Manifolds.

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Abstract

We prove R-bisectoriality and boundedness of the (Formula presented.)-functional calculus in (Formula presented.) for all (Formula presented.) for the Hodge–Dirac operator associated with Witten Laplacians on complete Riemannian manifolds with non-negative Bakry–Emery Ricci curvature on k-forms.
Original languageEnglish
Pages (from-to)3109-3138
Number of pages30
JournalJournal of Geometric Analysis
Volume28
Issue number4
DOIs
Publication statusPublished - 2018

Keywords

  • Witten Laplacian
  • Hodge–Dirac operator
  • R-bisectoriality
  • H∞-functional calculus
  • Bakry–Emery Ricci curvature

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