The Leibniz formula for the covariant derivative and some applications
A. V. Gavrilov
TL;DR
This paper generalizes the Leibniz rule for covariant derivatives on vector bundles, providing a broader mathematical framework and potential applications in differential geometry.
Contribution
It introduces a generalized Leibniz formula for covariant derivatives on vector bundles, extending classical results.
Findings
Derived a new formula for covariant derivatives
Extended Leibniz rule to vector bundles
Potential applications in differential geometry
Abstract
A generalization of the classical Leibniz rule for the covariant derivative on a vector bundle is obtained.
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Quantum chaos and dynamical systems