Transnormale Isotopien und transnormale Kurven

For transnormal manifolds which admit a nontrivial decktransformation leaving the transnormal frames invariant there is a natural construction of parallel transnormal manifolds. Generalizing a result of M. C. IRWIN [3] this construction is applied to show that every transnormal embedding of a 1-sphere is isotopic through transnormal embeddings to a spherical embedding. Moreover we show that the transnormal frame of a transnormal curve has only a finite number of points.

---

---

Die vorliegende Arbeit stellt den Inhalt der letzten beiden Kapitel der von der Fakultät für Allgemeine Ingenieurwissenschaften der TU Berlin genehmigten Dissertation [10] dar.