On the volume of a unit vector field on the three-sphere.
On values of the Gauss map of complete minimal surfaces in R3.
PDI&PDE-constrained optimization problems with curvilinear functional quotients as objective vectors.
Poisson transforms for differential forms
We give a construction of a Poisson transform mapping density valued differential forms on generalized flag manifolds to differential forms on the corresponding Riemannian symmetric spaces, which can be described entirely in terms of finite dimensional representations of reductive Lie groups. Moreover, we will explicitly generate a family of degree-preserving Poisson transforms whose restriction to real valued differential forms has coclosed images. In addition, as a transform on sections of density...
Quelques considérations concernant le problème de l'aguille de Buffon dans l'espace euclidien En.
Radon transforms and spectral rigidity on the complex quadrics and the real Grassmannians of rank two.
Random lines and tessellations in a plane.
Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.
Range characterization of Radon transforms on quaternionic projective spaces.
Range characterization of Radon transforms on quaternionic projective spaces.
Range of the k-dimensional Radon transform in real hyperbolic spaces.
Recent progress on the boundary rigidity problem.
Reconstruction from Limited Data of Arc Means.
Slicing of generalized surfaces with curvature measures and diameter's estimate
We prove generalizations of Meusnier's theorem and Fenchel's inequality for a class of generalized surfaces with curvature measures. Moreover, we apply them to obtain a diameter estimate.
Sobre la dualidad entre el teorema de Gauss-Bonnet y la integral de geodésicas que cortan a una curva sobre una superficie.
Some curvature identities for commutative spaces
Some Notes on the Radon Transform and Integral Geometry.
Some remarks on Dvoretzky's theorem on almost spherical sections of convex bodies
Some results for generalized cochains.
Special generalized Gauss graphs and their application to minimization of functional involving curvatures.
Stabilité isopérimétrique.