A theorem for a class of motions in a spherical geometry
Carregando...
Arquivos
Fontes externas
Fontes externas
Data
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Tipo
Resenha
Direito de acesso
Arquivos
Fontes externas
Fontes externas
Resumo
Considering the motion, at classical level, of a point particle constrained to move under the influence of a conservative centre of force, on a N-sphere S(N), embedded in a Euclidean (N+1)-dimensional space, the author has shown that, if the motion on S(N) is obtained from the motion on a tangent N-plane Pi (N) by means of a central projection, then the equations of motion of S(N) can be obtained from those on the Euclidean Pi (N) by a local reparameterisation of time. Some consequences of the theorem are also discussed.
Descrição
Palavras-chave
Idioma
Inglês
Citação
Journal of Physics A: Mathematical and General, v. 16, n. 9, p. 2087-2092, 1983.
