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math-ph2022★ 1 cited
Steady flows of ideal incompressible fluid
Vladimir Yu. Rovenski, Vladimir A. Sharafutdinov
A new important relation between fluid mechanics and differential geometry is established. We study smooth steady solutions to the Euler equations with the additional property: the…
math.DG2022
Integral formulas for a foliated sub-Riemannian manifold
Vladimir Rovenski
In this article, we deduce a series of integral formulas for a foliated sub-Riemannian manifold, which is a new geometric concept denoting a Riemannian manifold equipped with a dis…