Equivariant bundle

In geometry and topology, given a group G (which may be a topological or Lie group), an equivariant bundle is a fiber bundle

are both G-spaces (continuous or smooth, depending on the setting) and the projection map

with some extra requirement depending on a typical fiber.

For example, an equivariant vector bundle is an equivariant bundle such that the action of G restricts to a linear isomorphism between fibres.

This differential geometry-related article is a stub.