Nearly spherical 3D liquid drops with capillarity and constant vorticity are necessarily oblate spheroids with cylindrical symmetry when the ratio of vorticity squared to capillarity is small enough.
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A rigidity result for the 3D capillary liquid drop with constant vorticity
Nearly spherical 3D liquid drops with capillarity and constant vorticity are necessarily oblate spheroids with cylindrical symmetry when the ratio of vorticity squared to capillarity is small enough.