Representations of hypersurfaces and minimal smoothness of the midsurface in the theory of shells
Representing Seashells Surface
Research works of Romanian mathematicians on centro-affine geometry.
Ricci and Casorati principal directions of Chen ideal submanifolds
Ricci identities in the space of non-symmetric affine connexion
Ricci type identities for non-basic differentiation in Otsuki spaces.
Ricci-semisymmetric hypersurfaces.
Rigidity of hypersurfaces in complex projective space
Rigidity of minimal hypersurfaces of spheres with constant Ricci curvature.
Robot-manipulators as submanifolds.
Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices
This article discusses the numerical approximation of time dependent Ginzburg-Landau equations. Optimal error estimates which are robust with respect to a large Ginzburg-Landau parameter are established for a semi-discrete in time and a fully discrete approximation scheme. The proofs rely on an asymptotic expansion of the exact solution and a stability result for degree-one Ginzburg-Landau vortices. The error bounds prove that degree-one vortices can be approximated robustly while unstable higher...
Robust a priori error analysis for the approximation of degree-one Ginzburg-Landau vortices
This article discusses the numerical approximation of time dependent Ginzburg-Landau equations. Optimal error estimates which are robust with respect to a large Ginzburg-Landau parameter are established for a semi-discrete in time and a fully discrete approximation scheme. The proofs rely on an asymptotic expansion of the exact solution and a stability result for degree-one Ginzburg-Landau vortices. The error bounds prove that degree-one vortices can be approximated robustly while unstable higher...
Rotation indices related to Poncelet’s closure theorem
Let CRCr denote an annulus formed by two non-concentric circles CR, Cr in the Euclidean plane. We prove that if Poncelet’s closure theorem holds for k-gons circuminscribed to CRCr, then there exist circles inside this annulus which satisfy Poncelet’s closure theorem together with Cr, with ngons for any n > k.
Rotation surfaces with L₁-pointwise 1-type Gauss map in pseudo-Galilean space
We study rotation surfaces in the three-dimensional pseudo-Galilean space G₃¹ such that the Gauss map G satisfies the condition L₁G = f(G + C) for a smooth function f and a constant vector C, where L₁ is the Cheng-Yau operator.
Rotations and Hermitian Symmetric Spaces.
Ruled surfaces treated in terms of relative geometry. (Regelflächen relativgeometrisch behandelt.)
Ruled Surfaces with Vanishing Second Gaussian Curvature.
Ruled W-surfaces in Minkowski 3-space
In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set , where and are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
Saddle surfaces admitting local support planes.