Euclidean hypersurfaces with a totally geodesic foliation of codimension one
classification
🧮 math.DG
keywords
codimensionhypersurfacescompleteeuclideanfoliationgeodesictotallycarry
read the original abstract
We classify the hypersurfaces of Euclidean space that carry a totally geodesic foliation with complete leaves of codimension one. In particular, we show that rotation hypersurfaces with complete profiles of codimension one are characterized by their warped product structure. The local version of the problem is also considered.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.