Leibniz Cohomology and the Calculus of Variations
Algebraic Topology
2007-05-23 v1 Differential Geometry
Abstract
In this paper we continue the investigation of Loday's Leibniz cohomology as a new invariant for differentiable manifolds. In particular the Leibniz coboundary of a k-tensor (in the sense of differential geometry) is computed in a local coordinate chart and then interpreted in terms of the calculus of variations. For example, the Leibniz coboundary of the metric two-tensor reduces to the first variation of arc length.
Keywords
Cite
@article{arxiv.math/9808036,
title = {Leibniz Cohomology and the Calculus of Variations},
author = {Jerry Lodder},
journal= {arXiv preprint arXiv:math/9808036},
year = {2007}
}
Comments
19 pages