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

Saved in:
Bibliographic Details
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
Description
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]
ISSN:02198878
DOI:10.1142/S0219887825502627