The Schouten-Nijenhuis bracket, codifferential of products and generalized interior products of $p$-forms
E. Huguet, and J. Queva, and J. Renaud
TL;DR
This paper consolidates and extends identities involving the de Rham codifferential and related operators on differential forms, introducing new formulas through a natural extension of interior products for better understanding and application.
Contribution
It provides a comprehensive collection of identities and introduces new formulas for differential operators on p-forms, enhancing the theoretical toolkit in differential geometry.
Findings
Compiled identities involving the codifferential and Lie derivatives
Introduced new formulas using extended interior products
Offers a compact summary for differential geometry applications
Abstract
Identities pertaining to the de Rham codifferential in differential geometry are scattered in the literature. This article 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
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.