The restriction problem on the ellipsoid
Chi Hin Chan, Magdalena Czubak, Tsuyoshi Yoneda · arXiv (Cornell University) · 2022
Following a restriction argument in the Euclidean space, we derive a geometric invariant formula for a possible viscosity operator for an incompressible fluid flow on an ellipsoid embedded in $\mathbb R^3$. We also give an asymptotic expansion of the formula in terms of the eccentricity associated with the ellipsoid.