A Minkowski plane is a two-dimensional X vector space with a norm || · ||. Three concepts of curvature in this plane are: normal curvature, circular curvature and Minkowski curvature. The main objective of this dissertation ...

O objetivo deste trabalho é fornecer um estudo sobre o fluxo da curvatura média que evoluem ao longo de movimentos auto-similares. Inicialmente, apresentamos uma breve introdução ao fluxo da curvatura média e verificamos ...

In this work we study the Ricci ow given by Hamilton addressing existence and uniqueness, thus obtaining a solution defined in a time interval, then give some estimates of Bernstein-Bando-Shi,which will be shown that the ...

Mean curvature flow is a geometric flow that rises when evolving a hipersurface in the direction of its normal vector field with velocity at each point equal to the mean curvature at the very same point. As it is an evolution ...

This research has as main objective to study a primary instability region o a billiard application to establish conditions to get a Mather’s theorem in a certain topology on ovals billiards and the destruction of nonconvex ...

Obtemos condições necessárias e suficientes para que uma curva da esfera bidimensional seja um sóliton do fluxo redutor de curvas. A partir desse resultado, descrevemos a forma geométrica dos sólitons da esfera bidimensional. ...