Leibniz Cohomology and the Calculus of Variations

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dc.creatorLodder, Jerry
dc.date1998-08-06
dc.date.accessioned2026-07-07T05:25:39Z
dc.date.available2026-07-07T05:25:39Z
dc.descriptionIn 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.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/9808036
dc.identifierhttp://arxiv.org/abs/math/9808036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77260
dc.subjectAlgebraic Topology
dc.subjectDifferential Geometry
dc.subject55, 53, 18
dc.titleLeibniz Cohomology and the Calculus of Variations
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