Remarks on the Cartan Formula and Its Applications
Kefeng Liu, Sheng Rao
TL;DR
This paper discusses generalized commutator formulas for natural operators on manifolds and explores their applications, providing insights into geometric analysis and operator theory.
Contribution
It introduces generalized versions of the Cartan formula and related commutator formulas, extending classical results in differential geometry.
Findings
Generalized commutator formulas derived
Applications to geometric analysis demonstrated
Extensions of classical Cartan formulas provided
Abstract
In this short note, we present certain generalized versions of the commutator formulas of some natural operators on manifolds, and give some applications.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research