Encontrados 2 documentos, a visualizar página 1 de 1
The De Casteljau Algorithm on Lie Groups and Spheres
Crouch, P.; Kun, G.; Leite, F. SilvaWe examine the De Casteljau algorithm in the context of Riemannian symmetric spaces. This algorithm, whose classical form is used to generate interpolating polynomials in $$\mathbbR^n $$, was also generalized to arbitrary Riemannian manifolds by others. However, the implementation of the generalized algorithm is difficult since detailed structure, such as boundary value expressions, has not been available. Lie ...
A second order Riemannian variational problem from a Hamiltonian perspective
Crouch, P.; Leite, F. Silva; Camarinha, M.We present a Hamiltonian formulation of a second order variational problem on a differentiable manifold Q, endowed with a Riemannian metric < .,.> and explore the possibility of writing down the extremal solutions of that problem as a flow in the space TQ T*Q T*Q. For that we utilize the connection r on Q, corresponding to the metric < .,.>. In general the results depend upon a choice of frame for TQ, but for...
| Financiadores do RCAAP | |||||||
|
|
|
|
|
|
||