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Preprint . 2024
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Article . 2025
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International Journal of Geometric Methods in Modern Physics
Article . 2025 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2024
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The Schouten–Nijenhuis bracket, codifferential of products and generalized interior products of p-forms

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 23 Jul 2025Embargo end date: 01 Jan 2024 English Publisher:World Scientific Pub Co Pte LtdJournal:International Journal of Geometric Methods in Modern Physics (issn: 0219-8878, eissn: 1793-6977, Copyright policy )
Authors: Huguet, E.; Queva, J.; Renaud, J.;

doi: 10.1142/s0219887825502627 , 10.48550/arxiv.2406.02476

arXiv: http://arxiv.org/abs/2406.02476

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

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.

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Keywords

[PHYS.GRQC] Physics [physics]/General Relativity and Quantum Cosmology [gr-qc], Differential Geometry (math.DG), FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), General Relativity and Quantum Cosmology (gr-qc), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Mathematical Physics, General Relativity and Quantum Cosmology, Differential Geometry

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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