Category:Structures on manifolds
From Wikipedia, the free encyclopedia
There are three main types of structures important on manifolds. The foundational geometric structures are piecewise linear, mostly studied in geometric topology, and smooth manifold structures on a given topological manifold, which are the concern of differential topology as far as classification goes. Building on a smooth structure, there are:
- various G-structures, which relate the tangent bundle to some subgroup G of the general linear group
- structures defined by holonomy conditions.
These can be related, and (for example for Calabi-Yau manifolds) their existence can be predicted using discrete invariants.
Pages in category "Structures on manifolds"
The following 51 pages are in this category, out of 51 total. Updates to this list can occasionally be delayed for a few days.