3 papers
math.DG2022
Mapping Among Line Elements
A. C. V. V. de Siqueira
In this paper, we revisit our paper "Matrix Riccati Equations, Kaluza-Klein, Finsler Spaces, and Mapping Among Manifolds"[1]. We will build mapping among generalized quadratic Hami…
math-ph2013
Mapping Among Manifolds III
A. C. V. V. de Siqueira
In two previous papers, we constructed two modified Hamiltonian formalisms to make maps among manifolds explicit. In this paper, the two modified formalisms were adapted to manifol…
math-ph2010
Physical Principles Based on Geometric Properties
A. C. V. V. de Siqueira
In this paper we present some results obtained in a previous paper about the Cartan's approach to Riemannian normal coordinates and our conformal transformations among pseudo-Riema…