Stochastic poisson equations associated to lie algebroids and some refinements of a principal bundle
Gheorghe Ivan, Dumitru Opris
TL;DR
This paper explores stochastic Poisson equations linked to Lie algebroids and refines their application to principal bundles, advancing the mathematical understanding of stochastic processes in geometric structures.
Contribution
It introduces stochastic Poisson equations for Lie algebroids and refines their application to principal bundles, providing new insights into stochastic geometric structures.
Findings
Derived stochastic Poisson equations for Lie algebroids.
Refined the application of these equations to principal bundles.
Enhanced understanding of stochastic processes in geometric contexts.
Abstract
The aim of this paper is to present the stochastic Poisson equations associated to Lie algebroids. The stochastic Poisson equations associated to a refinement of a concrete principal bundle are determined.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models