Concerning the envelope of holomorphy of a compact differentiable submanifold of a complex manifold

Section 1 provides Riemannian versions of 3 classical results of geomet- ric measure theory: Allard’s regularity theorem, the link between first variation and mean curvature in the

In constant sectional curvature spaces the solutions of the isoperimetric problem are geodesic balls, this fact allow us, in the Euclidean case, to have an explicit formula for

The main purposes of this article are to prove controllability for System (1.1), to find an explicit expression of the minimal control time in the simple situation where Ω is a

Such new domains have small volume and are close to geodesic balls centered at a nondegenerate critical point of the scalar curvature of the manifold (the existence of at least

This generalises both Deligne et al.’s result on the de Rham fundamental group, and Goldman and Millson’s result on deforming representations of K¨ ahler groups, and can be regarded

Sicbaldi in [16], a new phenomena appears: there are two types of extremal domains, those that are the complement of a small perturbed geodesic ball centered at a nondegenerate

— Let M", n^3, be a compact manifold without boundary, having a handle decomposition and such that there exists a basis of Hi (M", R) represented by imbedded curves

— Let M be a compact manifold (with boundary) which is isometric to a domain of an n-dimensional simply connected complete Riemannian manifold with sectional curvature bounded