Families of spheres
Family of projective projections on tensors and connections.
Feuilletages conformes
Dans cet article nous montrons que tout feuilletage conforme, transversalement analytique, de codimension supérieure ou égale à trois sur une variété compacte connexe est transversalement Möbius ou riemannien. Ce théorème peut être vu comme une généralisation, transversalement à un feuilletage, du théorème Ferrand-Obata.
Fibre bundles associated with fields of geometric objects and the structure tensor
Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes
Fibrés vectoriels positifs sur une courbe elliptique
Finiteness of the number of ends of minimal submanifolds in euclidean space.
Finiteness of the set of solutions of Plateau's problem for polygonal boundary curves
First neighbourhood of the diagonal, and geometric distributions.
First variation of the general curvature-dependent surface energy
We consider general surface energies, which are weighted integrals over a closed surface with a weight function depending on the position, the unit normal and the mean curvature of the surface. Energies of this form have applications in many areas, such as materials science, biology and image processing. Often one is interested in finding a surface that minimizes such an energy, which entails finding its first variation with respect to perturbations of the surface. We present a concise derivation...
First variation of the general curvature-dependent surface energy
We consider general surface energies, which are weighted integrals over a closed surface with a weight function depending on the position, the unit normal and the mean curvature of the surface. Energies of this form have applications in many areas, such as materials science, biology and image processing. Often one is interested in finding a surface that minimizes such an energy, which entails finding its first variation with respect to perturbations of the surface. We present a concise derivation...
Flächen beschränkter mittlerer Krümmung in einer dreidimensionalen Riemannschen Mannigfaltigkeit.
Flächen konstanter Beleuchtungsstärke
Flächen vorgeschriebener mittlerer Krümmung mit eindeutiger Projektion auf eine Ebene.
Flächenstreifen und Dupinsche Zykliden in der Laguerre-Geometrie.
Flat 3-webs of degree one on the projective plane
The aim of this work is to study global -webs with vanishing curvature. We wish to investigate degree foliations for which their dual web is flat. The main ingredient is the Legendre transform, which is an avatar of classical projective duality in the realm of differential equations. We find a characterization of degree foliations whose Legendre transform are webs with zero curvature.
Flat surfaces in the Euclidean space with pointwise 1-type Gauss map.
Flat tensor product surfaces of pseudo-Euclidean curves
We determine the flat tensor product surfaces of two curves in pseudo-Euclidean spaces of arbitrary dimensions.
Flexible cross-polytopes in the Euclidean 4-space.
Flow under curvature: Singularity formation, minimal surfaces, and geodesics.