Mathematics – Differential Geometry
Scientific paper
2002-04-08
Mathematics
Differential Geometry
LaTeX, 12 pages
Scientific paper
We generalize the spinorial characterization of isometric immersions of surfaces in R^3 given by T. Friedrich (On the spinor representation of surfaces in Euclidean 3-space, J. Geom. Phys. 28 (1998)) to surfaces in S^3 and H^3. The main argument is the interpretation of the energy-momentum tensor associated with a special spinor field as a second fundamental form. It turns out that such a characterization of isometric immersions in terms of a special section of the spinor bundle also holds in the case of hypersurfaces in the Euclidean 4-space.
No associations
LandOfFree
Surfaces in S^3 and H^3 via Spinors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Surfaces in S^3 and H^3 via Spinors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Surfaces in S^3 and H^3 via Spinors will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-554758