One of the objectives of this paper was to understand Birkhoff's Invariant Curve Theorem which was first demonstrated by Birkhoff himself and has as an important consequence that every invariant rotational curve projects ...

This work is divided int two parts. In the first part of the work, in Theorem 2.1, we give a first version of Botts fórmula for a compact complex orbifold with isolated singularities. In Theorem 2.4, using a good resolution ...

Let w be a holomorphic LDS r-form on a complex manifold M. In the case M = Cn, we show that if ker(w) admits a trivial subbundle of rank k, then there exists a holomrphic LDS (r - k)-form n on Cn such that ! is the exterior ...

In this paper we study the geodesic flow for a particular class of Riemannian non-compact manifolds with variable pinched negative sectional curvature. For a sequence of invariant measures we are able to prove results ...

In this work will be characterized the generic form of plane quadratic applications that preserve area, orientation and that have a fixed point.It will evaluate the linear stability of fixed points, detecting the conditions ...

In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete ...

We investigate the isoperimetric problem of finding the regions of prescribed volume with minimal boundary area between two parallel horospheres in hyperbolic 3-space (the part of the boundary contained in the horospheres ...

In this thesis, aspects of the local and global theory of Holomorphic Webs and Levi-flat Hypersurfaces will be considered. We will address three proposals. The first one, is to consider a real analytic Levi-flat hypersurface ...

The objective of this thesis is to study one of the classic problems of the moduli, using only complex variable with a little of the Geometric Invariant Theory. What we intend to explain is the way to compact the moduli ...