Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896699 | Journal of Geometry and Physics | 2010 | 17 Pages |
Abstract
We give spinorial characterizations of isometrically immersed surfaces into three-dimensional homogeneous manifolds with four-dimensional isometry group in terms of the existence of a particular spinor field. This generalizes works by Friedrich for R3R3 and Morel for S3S3 and H3H3. The main argument is the interpretation of the energy–momentum tensor of such a spinor field as the second fundamental form up to a tensor depending on the structure of the ambient space.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Julien Roth,