10 citations · 12 across the 7 of their papers we have counts for
8 papers
Self-Similar Solutions to the Curvature Flow and its Inverse on the 2-dimensional Light Cone
Fabio Nunes da Silva, Keti Tenenblat
We show that the solutions to the curvature flow (CF) for curves on the 2-dimensional light cone are in correspondence with the solutions to the inverse curvature flow (ICF). We pr…
Soliton Solutions to the Curve Shortening Flow on the 2-dimensional hyperbolic plane
Fabio Nunes da Silva, Keti Tenenblat
We show that a curve is a soliton solution to the curve shortening flow if and only if its geodesic curvature can be written as the inner product between its tangent vector field a…
A class of quasilinear second order partial differential equations which describe spherical or pseudospherical surfaces
Diego Catalano Ferraioli, Tarcísio Castro Silva, Keti Tenenblat
Second order partial differential equations which describe spherical surfaces (ss) or pseudospherical surfaces (pss) are considered. These equations are equivalent to the structure…
Noncompact quasi-Einstein manifolds conformal to a Euclidean space
Ernani Ribeiro, Keti Tenenblat
The goal of this article is to investigate nontrivial -quasi-Einstein manifolds globally conformal to an -dimensional Euclidean space. By considering such manifolds, whose co…
The mean curvature flow by parallel hypersurfaces
Hiuri Fellipe Santos dos Reis, Keti Tenenblat
It is shown that a hypersurface of a space form is the initial data for a solution to the mean curvature flow by parallel hypersurfaces if, and only if, it is isoparametric. By sol…
Local isometric immersions of pseudo-spherical surfaces and k-th order evolution equations
Nabil Kahouadji, Niky Kamran, Keti Tenenblat
We consider the class of evolution equations that describe pseudo-spherical surfaces of the form u\_t = F (u, u/x, ..., ^k u/x^k), k 2…