Regular triangles and isoclinic triangles in the Grassmann .
Régularité des hypersurfaces minimales
Regularity and Finiteness of Solutions to the Free Boundary Problem for Minimal Surfaces.
Regularity at infinity for area-minimizing hypersurfaces in hyperbolic space.
Regularity of a Minimal Surface at its Free Boundary.
Regularity of weak H-surfaces.
Regularity results for minimizing currents with a free boundary.
Relation between algebraic and geometric view on NURBS tensor product surfaces
NURBS (Non-Uniform Rational B-Splines) belong to special approximation curves and surfaces which are described by control points with weights and B-spline basis functions. They are often used in modern areas of computer graphics as free-form modelling, modelling of processes. In literature, NURBS surfaces are often called tensor product surfaces. In this article we try to explain the relationship between the classic algebraic point of view and the practical geometrical application on NURBS.
Relations entre les rayons de courbure de quelques systèmes de courbes
Relaxed hyperelastic curves
We define relaxed hyperelastic curve, which is a generalization of relaxed elastic lines, on an oriented surface in three-dimensional Euclidean space E³, and we derive the intrinsic equations for a relaxed hyperelastic curve on a surface. Then, by examining relaxed hyperelastic curves in a plane, on a sphere and on a cylinder, we show that geodesics are relaxed hyperelastic curves in a plane and on a sphere. But on a cylinder, they are relaxed hyperelastic curves only in special cases.
Remark on bilinear operations on tensor fields
This short note completes the results of [3] by removing the locality assumption on the operators. After providing a quick survey on (infinitesimally) natural operations, we show that all the bilinear operators classified in [3] can be characterized in a completely algebraic way, even without any continuity assumption on the operations.
Remark on one theorem of R. Schneider
Remark on surfaces in satisfying certain relations between covariant derivatives of the mean and Gauss curvatures
Remarks on algebraic concomitants of the Riemann-Christoffel curvature tensor in a three-dimensional space
Remarks on differential concomitants of densities
Remarks on Grassmannian Symmetric Spaces
The classical concept of affine locally symmetric spaces allows a generalization for various geometric structures on a smooth manifold. We remind the notion of symmetry for parabolic geometries and we summarize the known facts for -graded parabolic geometries and for almost Grassmannian structures, in particular. As an application of two general constructions with parabolic geometries, we present an example of non-flat Grassmannian symmetric space. Next we observe there is a distinguished torsion-free...
Remarks on the Darboux transform of isothermic surfaces.
Remarks on the Isoperimetric Inequality for Multiply-connected H-Surfaces.
Remarks on the Stability of Minimal Submanifolds of IRn.
Remarks on the symmetries of planar fronts.
A front is the projection on the plane of a Legendrian immersion of a circle in the space of the contact elements of that plane. I analyze the symmetries of a generic front with respect to the group generated by the involutions reversing the orientation of the plane, the orientation of the preimage circle and the coorientation of the contact plane.