Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606717 | Differential Geometry and its Applications | 2006 | 10 Pages |
Abstract
Consider a smooth manifold with a smooth metric which changes bilinear type on a hypersurface Σ and whose radical line field is everywhere tangent to Σ. We describe two natural tensors on Σ and use them to describe “integrability conditions” which are similar to the Gauss–Codazzi conditions. We show that these forms control the smooth extendibility to Σ of ambient curvatures.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
E. Aguirre-Dabán, J. Lafuente-López,