Abstract
Ansatze are constructed under which the solutions of 11-dimensional supergravity must be stationary points of a parabolic flow on a Riemannian manifold M 10- p. This parabolic flow turns out to be the Ricci flow coupled to a scalar field, a (3- p)-form, and a 4-form. This allows the introduction of techniques from parabolic partial differential equations to the search of solutions to 11-dimensional supergravity. As a first step, Shi-type estimates and criteria for the long-time existence of the flow are established.
| Original language | American English |
|---|---|
| Pages (from-to) | 1333-1361 |
| Number of pages | 29 |
| Journal | Analysis and PDE |
| Volume | 14 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2021 |
| Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Numerical Analysis
- Applied Mathematics
Keywords
- 11-dimensional supergravity
- Shi-type estimates