Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416927 | Differential Geometry and its Applications | 2013 | 25 Pages |
Abstract
Cocalibrated G2-structures are structures naturally induced on hypersurfaces in Spin(7)-manifolds. Conversely, one may start with a seven-dimensional manifold M endowed with a cocalibrated G2-structure and construct via the Hitchin flow a Spin(7)-manifold which contains M as a hypersurface. In this article, we consider left-invariant cocalibrated G2-structures on Lie groups G which are a direct product G=G4ÃG3 of a four-dimensional Lie group G4 and a three-dimensional Lie group G3. We achieve a full classification of the Lie groups G=G4ÃG3 which admit a left-invariant cocalibrated G2-structure.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Marco Freibert,