The Schouten–Nijenhuis bracket, codifferential of products and generalized interior products of <i>p</i>-forms

Identities pertaining to the de Rham codifferential [Formula: see text] in differential geometry are scattered in the literature. This paper gathers such formulas involving usual differential operators (Lie derivative, Schouten–Nijenhuis bracket, etc.), while adding some new ones using a natural extension of the interior product, to provide a compact handy summary.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2025-06-20
DOI
https://doi.org/10.1142/s0219887825502627
Citations
1
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
4.09
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article

The Schouten–Nijenhuis bracket, codifferential of products and generalized interior products of p-forms

J. Queva, E. Huguet, Jacques Renaud
1 citations
International Journal of Geometric Methods in Modern Physics
Mathematics and Applications
4.09
article

The Schouten–Nijenhuis bracket, codifferential of products and generalized interior products of p-forms

J. Queva, E. Huguet, Jacques Renaud
article en
1 citations

Abstract

Identities pertaining to the de Rham codifferential [Formula: see text] in differential geometry are scattered in the literature. This paper gathers such formulas involving usual differential operators (Lie derivative, Schouten–Nijenhuis bracket, etc.), while adding some new ones using a natural extension of the interior product, to provide a compact handy summary.

International Journal of Geometric Methods in Modern Physics
Centre National de la Recherche Scientifique (FR), Université de Corse Pascal Paoli (FR), Université Paris Cité (FR), Laboratoire AstroParticule et Cosmologie (FR)
Openalex Percentile: Top 9%
Mathematics and Applications
4.09
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