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On Weitzenböck Curvature Operators

2006/07/21 by Mohammed Larbi Labbi, Labbi, Mohammed Larbi · 1 citation
Mathematics · Physics and Astronomy · #15A69 #15A75 #53C20 #53C21 #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.DG #msc:15A69 #msc:15A75 #msc:53C20 #msc:53C21

paper · pdf · doi:10.48550/arxiv.math/0607521

14 pages, no modifications just Weitzenböck's name was misspelled

openalex publication_date 2006/07/21 · arxiv created 2006/08/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Weitzenböck curvature operators are the curvature terms of order zero that appear in the well known classical Weitzenböck formula. In this paper, we use the formalism of double forms to prove a simple formula for this operators and to study their geometric properties.

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