General item

### Manifolds with analytic corners

Abstract:

Manifolds with boundary and with corners form categories ${\bf Man}\subset{\bf Man^b}\subset{\bf Man^c}$. A manifold with corners $X$ has two notions of tangent bundle: the tangent bundle $TX$, and the b-tangent bundle ${}^bTX$. The usual definition of smooth structure uses $TX$, as $f:X\to\mathbb{R}$ is defined to be smooth if $\nabla^kf$ exists as a continuous section of $\bigotimes^kT^*X$ for all $k\ge 0$. We define 'manifolds with analytic corners', or 'manifolds with a-corners', with a...

### Access Document

Files:
• (pdf, 883.8KB)

### Authors

More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Institute
Role:
Author
URN:
Source identifiers:
623283
Local pid:
pubs:623283
Keywords: