
The author gives a state of the art report on transnormal submanifolds. After some historical comments the following topics are dealt with in this context: curves and hypersurfaces of constant width, transnormality, generating frames, products, applications of elementary Morse theory, special geometric properties, Riemannian transnormality, transnormal systems, isoparametric systems.
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), isoparametric systems, transnormal submanifolds, constant width, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, Research exposition (monographs, survey articles) pertaining to differential geometry
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), isoparametric systems, transnormal submanifolds, constant width, Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces, Research exposition (monographs, survey articles) pertaining to differential geometry
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 12 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
