Leonardo ApazaMario Sandoval2026-03-222026-03-22201810.1039/c8sm01034jhttps://doi.org/10.1039/c8sm01034jhttps://andeanlibrary.org/handle/123456789/47319Citaciones: 23We formulate the dynamics of overdamped Brownian active particles (swimmers) moving on any Riemannian 2-manifold. To characterize such dynamics at short times, an analytical expression for the variance of swimmers diffusing on any Riemmanian 2-manifold is derived. To show the generality of the present work, we apply the latter dynamics to swimmers moving on the surface of a spheroid and a torus, and offer analytical expressions for both their long-time variances and steady angular marginal probability density functions. Finally, Brownian dynamics simulations are used to validate our theoretical findings.enRiemannian geometryGeologyPure mathematicsMathematicsarticle