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math-ph2020
A Coordinate Free Formulation of Effective Diffusion on Channels
Carlos Valero
We study diffusion processes in regions generated by sliding a cross section by the phase flow of vector filed on curved spaces of arbitrary dimension. We do this by studying the e…
math-ph2018★ 2 cited
Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional Hyperbolic and de Sitter spaces
Carlos Valero, Raymond G. McLenaghan
We review the theory of orthogonal separation of variables on pseudo-Riemannian manifolds of constant non-zero curvature via concircular tensors and warped products. We then apply…