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gr-qc2024
Moving Manifolds and General Relativity
David V. Svintradze
We revise general relativity (GR) from the perspective of calculus for moving surfaces (CMS). While GR is intrinsically constructed in pseudo-Riemannian geometry, a complete unders…
math.AP2024
Manifold Solutions to Navier-Stokes Equations
David V. Svintradze
We have developed dynamic manifold solutions for the Navier-Stokes equations using an extension of differential geometry called the calculus for moving surfaces. Specifically, we h…