Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Vol. 45, No. 2, pp. 615635 (2004) 

Lines of curvature, ridges and conformal invariants of hypersurfacesM. C. RomeroFuster and E. SanabriaCodesalDepartament de Geometria i Topologia, Universitat de València, Spain, email: romeromc@post.uv.es; Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Spain, email: esanabri@mat.upv.esAbstract: We define some conformally invariant differential 1forms along the curvature lines of a hypersurface $M$ and we observe that the ridges of $M$ can be viewed as their zeros. We characterize the highest order ridges, which are isolated points generically, as zeros of these conformally invariant differential 1forms along special curves of ridges. We also prove that the highest order ridges are vertices of the curvature lines when they are considered as curves in $n$space. Full text of the article:
Electronic version published on: 9 Sep 2004. This page was last modified: 4 May 2006.
© 2004 Heldermann Verlag
