On the Height of a Capillary Surface.
On the last geometric statement of Jacobi.
On the osculating spaces of submanifolds in Euclidean spaces
On the Second Order Infinitesimal Bendings of a Class of Toroids
On the semicontinuity of curvatures.
On the surface of Lorentz manifold whose normal bundles have special properties
On the Surfaces Whose Normal Bundles Have Special Properties
On the theorem of Meusnier in Weyl spaces
On the total mean curvature of a nonrigid surface.
On variation of the volume under infinitesimal bending of a closed rotational surface.
On Weingarten surfaces
Ovaloids with prescribed curvature of the second fundamental form
Oб однозначной опрeделённости некоторых классов поверхностей в пространстве Лобачевского
Parallel-P-Äquidistante Regelflächen.
Parametric mean curvature evolution with a Dirichlet boundary condition.
Perspective of Interfaces from Stand Point of Continuum Physics
Planar vector field versions of Carathéodory's and Loewner's conjectures.
Let r = 3, 4, ... , ∞, ω. The Cr-Carathéodory's Conjecture states that every Cr convex embedding of a 2-sphere into R3 must have at least two umbilics. The Cr-Loewner's conjecture (stronger than the one of Carathéodory) states that there are no umbilics of index bigger than one. We show that these two conjectures are equivalent to others about planar vector fields. For instance, if r ≠ ω, Cr-Carathéodory's Conjecture is equivalent to the following one:Let ρ > 0 and β: U ⊂ R2 → R, be of class...
Plongement isométrique de la sphère à courbure non négative dans
Polynomial translation surfaces of Weingarten types in Euclidean 3-space
In this paper, we classify polynomial translation surfaces in Euclidean 3-space satisfying the Jacobi condition with respect to the Gaussian curvature, the mean curvature and the second Gaussian curvature.
Poznámka o trojúhelnících racionálných