17 citations · 31 across the 13 of their papers we have counts for
4 papers · 1 filter
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…