My research lies in the intersection of three fields of mathematics: stochastic processes, representation theory and the theory of Lie groups; in particular, Lévy processes in nilpotent Lie groups. In Euclidean space, these processes are generated by a particularly nice class of operator, referred to as a pseudo-differential operator. These operators have traditionally been of interest in the s...

The fundamental theorem of submanifolds is adapted to spacetimes. It is shown that the integrability conditions for the existence of submanifolds of a pseudo-Euclidean space contain the Einstein and Yang-Mills equations. preprint UnB/MAT/FM-M495 pacs 02.40 =m, 04.20.Cv, 11.10.Kk

We present the basic concepts of space and time, Galilean pseudo-Euclidean geometry. use an elementary geometric framework affine spaces groups transformations to illustrate natural relationship between classical mechanics theory relativity, which is quite often hidden, despite its fundamental importance. have emphasized a passage from group motions Poincaré plane. In particular, 1-parametric f...

In this thesis, we study value distribution theoretical properties of the Gauss map of pseudo-algebraic minimal surfaces in ndimensional Euclidean space. After reviewing basic facts, we give estimates for the number of exceptional values and the totally ramified value numbers and the corresponding unicity theorems for them.