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

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Title: The Schouten–Nijenhuis bracket, codifferential of products and generalized interior products of p-forms.
Authors: Huguet, E.1 (AUTHOR) huguet@apc.univ-paris7.fr, Queva, J.2 (AUTHOR) queva@univ-corse.fr, Renaud, J.1 (AUTHOR) jrenaud@apc.in2p3.fr
Source: International Journal of Geometric Methods in Modern Physics. Sep2026, Vol. 23 Issue 10, p1-16. 16p.
Subjects: Differential operators, Differential forms, Lie algebras, Differential geometry
Abstract: Identities pertaining to the de Rham codifferential δ 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. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 193860523
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: The Schouten–Nijenhuis bracket, codifferential of products and generalized interior products of p-forms.
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  Data: <searchLink fieldCode="AR" term="%22Huguet%2C+E%2E%22">Huguet, E.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> huguet@apc.univ-paris7.fr</i><br /><searchLink fieldCode="AR" term="%22Queva%2C+J%2E%22">Queva, J.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> queva@univ-corse.fr</i><br /><searchLink fieldCode="AR" term="%22Renaud%2C+J%2E%22">Renaud, J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jrenaud@apc.in2p3.fr</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Geometric+Methods+in+Modern+Physics%22">International Journal of Geometric Methods in Modern Physics</searchLink>. Sep2026, Vol. 23 Issue 10, p1-16. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Differential+operators%22">Differential operators</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+forms%22">Differential forms</searchLink><br /><searchLink fieldCode="DE" term="%22Lie+algebras%22">Lie algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+geometry%22">Differential geometry</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Identities pertaining to the de Rham codifferential δ 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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        Value: 10.1142/S0219887825502627
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      – Code: eng
        Text: English
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        PageCount: 16
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      – SubjectFull: Differential operators
        Type: general
      – SubjectFull: Differential forms
        Type: general
      – SubjectFull: Lie algebras
        Type: general
      – SubjectFull: Differential geometry
        Type: general
    Titles:
      – TitleFull: The Schouten–Nijenhuis bracket, codifferential of products and generalized interior products of p-forms.
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            NameFull: Huguet, E.
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            NameFull: Queva, J.
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              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
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              Value: 10
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            – TitleFull: International Journal of Geometric Methods in Modern Physics
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