17 citations · 31 across the 13 of their papers we have counts for
17 papers
On Laguerre Isotropic Hypersurfaces
Fernanda Alves Caixeta, Keti Tenenblat
We study Laguerre isotropic hypersurfaces in the Euclidean space, which are hypersurfaces whose Laguerre form is zero and the eigenvalues of the Laguerre tensor are constant and eq…
Special vector fields on Riemannian manifolds of constant negative sectional curvature and conservation laws
Keti Tenenblat, Alice Barbora Tumpach
We show that any -dimensional Riemannian manifold with constant negative sectional curvature admits local orthonormal vector fields such that one of them is tangent to geo…
On the inverse mean curvature flow by parallel hypersurfaces in space forms
Alancoc dos Santos Alencar, Keti Tenenblat
We consider the inverse mean curvature flow by parallel hypersurfaces in space forms. We show that such a flow exists if and only if the initial hypersurface is isoparametric. The…
Superposition Formulae for the Geometric Bäcklund Transformations of the Hyperbolic and Elliptic Sine-Gordon and Sinh-Gordon Equations
Filipe Kelmer, Keti Tenenblat
We provide superposition formulae for the six cases of Bäcklund transformations corresponding to space-like and time-like surfaces in the 3-dimensional pseudo-Euclidean space. In e…
On a class of systems of hyperbolic equations describing pseudo-spherical or spherical surfaces
Filipe Kelmer, Keti Tenenblat
We consider systems of partial differential equations of the form \begin{equation}\nonumber \left\{ \begin{array}{l} u_{xt}=F\left(u,u_x,v,v_x\right),\\ v_{xt}=G\left(u,u_x,v,v_x\r…
On generalized quasi-Einstein manifolds
Antonio Airton Freitas Filho, Keti Tenenblat
A rigidity result for a class of compact generalized quasi-Einstein manifolds with constant scalar curvature is obtained. Moreover, under some geometric assumptions, the rigidity f…
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…
A note on isometric immersions and differential equations which describe pseudospherical surfaces
Diego Catalano Ferraioli, Tarcísio Castro Silva, Keti Tenenblat
In this paper, we provide families of second order non-linear partial differential equations, describing pseudospherical surfaces (pss equations), with the property of having local…
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…
Ricci Almost Solitons on semi-Riemannian Warped Products
Keti Tenenblat, Valter Borges
We characterize Ricci almost solitons on semi-Riemannian warped products, considering the potential function to depend on the fiber or not. We show that the fiber is necessarily an…
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…
Local Isometric immersions of pseudo-spherical surfaces and evolution equations
Nabil Kahouadji, Niky Kamran, Keti Tenenblat
The class of differential equations describing pseudo-spherical surfaces, first introduced by Chern and Tenenblat [3], is characterized by the property that to each solution of a d…
A connection between flat fronts in hyperbolic space and minimal surfaces in euclidean space
Antonio Martínez, Pedro Roitman, Keti Tenenblat
A geometric construction is provided that associates to a given flat front in a pair of minimal surfaces in which are related by a Ribaucour transform…
Second-order equations and local isometric immersions of pseudo-spherical surfaces
Nabil Kahouadji, Niky Kamran, Keti Tenenblat
We consider the class of differential equations that describe pseudo-spherical surfaces of the form and given in Chern-Tenenblat \cite…