Abstract
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.
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Die vorliegende Arbeit stellt den Inhalt der letzten beiden Kapitel der von der Fakultät für Allgemeine Ingenieurwissenschaften der TU Berlin genehmigten Dissertation [10] dar.
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Wegner, B. Transnormale Isotopien und transnormale Kurven. Manuscripta Math 4, 361–372 (1971). https://doi.org/10.1007/BF01168703
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DOI: https://doi.org/10.1007/BF01168703