When does inversion preserve convexity?
David Ervin Blair, John B. Wilker · Kodai Mathematical Journal · 1983
The study of the problem of fluid flow past a concave body in [2, 5] raised the question of determining which circles invert a given ellipse into a convex curve.This question was answered by one of the authors in [6] and our purpose here is to extend this work to more general convex curves and to consider the same question for the surface of a convex body in Euclidean space.