Example image of eyePlorer eyePlorer map for 'Carathéodory conjecture': Conjecture Constantin Carathéodory Hans Hamburger Bologna International Congress of Mathematicians Stephan Cohn-Vossen Wilhelm Blaschke Principal curvature John Edensor Littlewood Dirk Jan Struik Four-vertex theorem Marcel Berger Shing-Tung Yau Euclidean space Umbilical point Sphere Spheroid Charles Loewner Complex analysis Implicit function Puiseux series Root system Weierstrass preparation theorem Differential geometry of surfaces Bulletin of the American Mathematical Society Mathematische Zeitschrift Communications on Pure and Applied Mathematics Acta Mathematica ETH Zurich Siberian Mathematical Journal