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20072025
most citedThe formulation of the Navier-Stokes equations on Riemannian manifolds

43 citations · 102 across the 18 of their papers we have counts for

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math.DG2022★ 1 cited

The Gauss formulas for Laplacians on submanifolds

Chi Hin Chan, Magdalena Czubak

There are several types of Laplacians of a vector field on a Riemannian manifold. These include the Bochner and the Hodge Laplacian. The Gauss formula for the Levi-Civita connectio…

math.DG2018★ 1 cited

Hodge decomposition of the Sobolev space on a space form of nonpositive curvature

Chi Hin Chan, Magdalena Czubak, Carlos Pinilla Suarez

The Hodge decomposition is well-known for compact manifolds. The result has been extended by Kodaira to include non-compact manifolds and forms. We further extend the Hodge d…