Euclidean hypersurfaces with genuine deformations in codimension two

Details Euclidean hypersurfaces with genuine deformations in codimension two Euclidean hypersurfaces with genuine deformations in codimension two

2010-10-14

arxiv.org/abs/1010.2932v2

Mathematics

Differential Geometry

28 pages

Scientific paper

We classify hypersurfaces of rank two of Euclidean space $\R^{n+1}$ that admit genuine isometric deformations in $\R^{n+2}$. That an isometric immersion $\hat f\colon\,M^n\to\R^{n+2}$ is a genuine isometric deformation of a hypersurface $f\colon\, M^n\to\R^{n+1}$ means that $\hat f$ is nowhere a composition $\hat f=\hat F\circ f$, where $\hat F\colon\,V\subset \R^{n+1}\to\R^{n+2}$ is an isometric immersion of an open subset $V$ containing $f(M)$.

Affiliated with

Also associated with

No associations

Rating

Euclidean hypersurfaces with genuine deformations in codimension two 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 Euclidean hypersurfaces with genuine deformations in codimension two, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Euclidean hypersurfaces with genuine deformations in codimension two will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-285926