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

Jan van Neerven; Rik Versendaal

doi:10.1007/s12220-017-9947-4

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

Jan van Neerven^*, Rik Versendaal

^*Corresponding author for this work

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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 language	English
Pages (from-to)	3109-3138
Number of pages	30
Journal	Journal of Geometric Analysis
Volume	28
Issue number	4
DOIs	https://doi.org/10.1007/s12220-017-9947-4
Publication status	Published - 2018

Keywords

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

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10.1007/s12220-017-9947-4

44904847 - 10.1007_s12220-017-9947-4Final published version, 566 KBLicence: CC BY

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

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.",

keywords = "Witten Laplacian, Hodge–Dirac operator, R-bisectoriality, H∞-functional calculus, Bakry–Emery Ricci curvature",

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T1 - Lp-Analysis of the Hodge–Dirac Operator Associated with Witten Laplacians on Complete Riemannian Manifolds.

AU - van Neerven, Jan

AU - Versendaal, Rik

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - Witten Laplacian

KW - Hodge–Dirac operator

KW - R-bisectoriality

KW - H∞-functional calculus

KW - Bakry–Emery Ricci curvature

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DO - 10.1007/s12220-017-9947-4

M3 - Article

AN - SCOPUS:85032803114

SN - 1050-6926

VL - 28

SP - 3109

EP - 3138

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

IS - 4

ER -

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

Abstract

Keywords

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