L^p-Analysis of the Hodge--Dirac operator associated with Witten\n Laplacians on complete Riemannian manifolds

2017/02/20 by Jan van Neerven, van Neerven, Jan, Rik Versendaal +1 · 1 citation
Mathematics · #58J35 #58J60 #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Primary: 47A60 #Secondary: 58A10

paper · pdf · doi:10.48550/arxiv.1702.05886

openalex publication_date 2017/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove R-bisectoriality and boundedness of the H^\∞-functional\ncalculus in L^p for all 1<p<\∞ for the Hodge-Dirac operator associated\nwith Witten Laplacians on complete Riemannian manifolds with non-negative\nBakry-Emery Ricci curvature on k-forms.\n

Citations

• On the parabolic kernel of the Schrödinger operator

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