Il problema di Plateau in domini illimitati
Infinite periodic discrete minimal surfaces without self-intersections.
Instabile Flächen konstanter mittlerer Krümmung. Vortrag, gehalten auf der DMV-Tagung in Stuttgart 1971.
Instabile Flächen vorgeschriebener mittlerer Krümmung.
Instabile Minimalflächen in Riemannschen Mannigfaltigkeiten nichtpositver Schnittkrümmung.
Instability of certain capillary surfaces.
Instability of constant mean curvature surfaces of revolution in spherically symmetric spaces.
Interior curvature estimates for hypersurfaces of prescribed mean curvature
Invariance groups of relative normals
We investigate a two-parameter family of relative normals that contains Manhart's one-parameter family and the centroaffine normal. The invariance group of each of these normals is classified, and variational problems are studied. The results are Euler-Lagrange equations for the hypersurfaces that are critical with respect to the area functionals of the induced and semi-Riemannian volume forms and a classification of the critical hyperovaloids in the two-parameter family.
Invariants and Bonnet-type theorem for surfaces in ℝ4
In the tangent plane at any point of a surface in the four-dimensional Euclidean space we consider an invariant linear map ofWeingarten-type and find a geometrically determined moving frame field. Writing derivative formulas of Frenet-type for this frame field, we obtain eight invariant functions. We prove a fundamental theorem of Bonnet-type, stating that these eight invariants under some natural conditions determine the surface up to a motion. We show that the basic geometric classes of surfaces...
Isoliertheit und Stabilität von Flächen konstanter mittlerer Krümmung.
Isometric immersions of domains of Lobachevski space in Euclidean spaces
Isometric Immersions with the Same Gauss Map.
Isoperimetric and Stable Sets for Log-Concave Perturbations of Gaussian Measures
Let be an open half-space or slab in ℝn+1 endowed with a perturbation of the Gaussian measure of the form f (p) := exp(ω(p) − c|p|2), where c > 0 and ω is a smooth concave function depending only on the signed distance from the linear hyperplane parallel to ∂ Ω. In this work we follow a variational approach to show that half-spaces perpendicular to ∂ Ω uniquely minimize the weighted perimeter in Ω among sets enclosing the same weighted volume. The main ingredient of the proof is the characterization...
Isoperimetric inequalities for parametric variational problems
Isoperimetric regions in the plane with density .
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.