INVESTIGADORES
GONZALEZ PISANI Pablo Andres
artículos
Título:
Geodesic completeness for type A surfaces
Autor/es:
D'ASCANIO, D.; GILKEY, P.; PISANI, P.
Revista:
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Año: 2016
ISSN:
0926-2245
Resumen:
Type A surfaces are the locally homogeneous affine surfaces which can be locally described by constant Christoffel symbols. We address the issue of the geodesic completeness of these surfaces: we show that some models for Type A surfaces are geodesically complete, that some others admit an incomplete geodesic but model geodesically complete surfaces, and that there are also others which do not model any geodesically complete surface. Our main result provides a way of determining whether a given set of constant Christoffel symbols can model a geodesically complete surface.