1 citations · 1 across the 7 of their papers we have counts for
7 papers
Topics in Non-Riemannian Geometry
A. C. V. V. de Siqueira
In this paper, we present some new results on non-Riemannian geometry, more specifically, asymmetric connections and Weyl's geometry. For asymmetric connections, we show that a pro…
Conformal Form of Pseudo-Riemannian Metrics by Normal Coordinate Transformations II
A. C. V. V. de Siqueira
In this paper, we have reintroduced a new approach to conformal geometry developed and presented in two previous papers, in which we show that all n-dimensional pseudo-Riemannian m…
Mapping Among Manifolds II
A. C. V. V. de Siqueira
In a previous paper we built a modified Hamiltonian formalism to make possible explicit maps among manifolds. In this paper the modified formalism was generalized. As an applicatio…
Mapping among manifolds 1
A. C. V. V. de Siqueira
In this paper we have build the modified Hamiltonian formalism for geometric objects like the Jacobi fields and metric tensors. In this approach Jacobi fields and metric tensors ar…
The motion of a charged particle in Kalusa-Klein manifolds
A. C. V. V. de Siqueira
In this paper we use Jacobi fields to describe the motion of a charged particle in the classical gravitational, electromagnetic, and Yang-Mills fields.
Schrödinger Wave Function for a Free Falling Particle in the Schwarzschild Black Hole
A. C. V. V. de Siqueira, I. A. Pedrosa, E. R. Bezerra de Mello
We use the time-dependent invariant method in a geometric approach (Jacobi fields) to quantize the motion of a free falling point particle in the Schwarzschild black hole. Assuming…