A Lagrangian kinematic construction from inner-product changes of Lie-dragged vectors uniquely selects the deformation Laplacian for intrinsic fluid configuration spaces on Riemannian manifolds.
Heywood, The Navier-Stokes equations: on the existence, regularity and decay of solutions,Indiana Univ
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Resolving the viscosity operator ambiguity on Riemannian manifolds via a kinematic selection principle
A Lagrangian kinematic construction from inner-product changes of Lie-dragged vectors uniquely selects the deformation Laplacian for intrinsic fluid configuration spaces on Riemannian manifolds.