Nota de FísicaPublicado
Fundamental Polyhedron and Glueing Data for the Sixth Euclidean, Compact, Orientable 3-manifold
G.I. Gomero
1997
Dados da publicação
- Autores
- G.I. Gomero
- Tipo
- Nota de Física
- Status
- Publicado
- Data de publicação
- 1997
- Descrição
- Compact orientable 3-manifolds have been thoroughly used in probing a possible non-trivial topology of the space-like sections of spacetime and in the construction of mini- and midi-superspaces in quantum cosmology. However, there is in the physics literature a widespread misunderstanding concerning a class of compact orientable euclidean three-manifolds, namely the sixth class in Wolf's classification. This misunderstanding is rectified by constructing a fundamental polyhedron and glueing data for a manifold of this class using a method based on the action of discrete groups of isometries on the euclidean space <math>E^3\,\!</math>. The correctness of this construction is checked by computing its first homology group.
- Ano
- 1997
- Número
- CBPF-NF-049/97
- Vínculo com tese
- Não
- Vínculo com bolsa
- Não