Immersed surfaces with constant curvature near infinity
Indice d'un hérisson: étude et applications.
Hedgehogs are a natural generalization of convex bodies of class C+2. After recalling some basic facts concerning this generalization, we use the notion of index to study differential and integral geometries of hedgehogs.As applications, we prove a particular case of the Tennis Ball Theorem and a property of normals to a plane convex body of constant width.
Inequalities between the radii of spheres that are connected with a convex surface in a space of constant curvature.
Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature.
Infinitesimal rigidity of smooth convex surfaces through the second derivative of the Hilbert-Einstein functional [Book]
Integration of Monge-Ampère equations and surfaces with negative gaussian curvature
Intermediate flexibility of surfaces
Isoperimetric Symmetry Breaking: a Counterexample to a Generalized Form of the Log-Convex Density Conjecture
We give an example of a smooth surface of revolution for which all circles about the origin are strictly stable for fixed area but small isoperimetric regions are nearly round discs away from the origin.
Isothermic surfaces as solutions of Calapso PDE.