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Classification of Immersions which are Bounded by Curves in Surfaces

Frisch, Dennis (2010)
Classification of Immersions which are Bounded by Curves in Surfaces.
Technische Universität
Ph.D. Thesis, Primary publication

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Item Type: Ph.D. Thesis
Type of entry: Primary publication
Title: Classification of Immersions which are Bounded by Curves in Surfaces
Language: English
Referees: Grosse-Brauckmann, Prof. Dr. Karsten ; Kusner, Prof. Dr. Robert B.
Date: 16 June 2010
Place of Publication: Darmstadt
Date of oral examination: 11 May 2010

In the present work answers the question whether a normal immersion in a surface extends to an immersion of a surface with boundary. Furthermore it is answered how many different extensions exist. At first the case of immersed discs in the sphere is analyzed. Later on the results are extended to arbitrary surfaces in the preimage as well as in the image.

Alternative Abstract:
Alternative AbstractLanguage

In der vorliegenden Arbeit wir die Frage beantwortet ob eine normale Immersion in eine Fläche eine Fortsetzung zu einer Immersion von einer Fläche mit Rand hat. Weiterhin wird die Frage beantwortet wie viele verschiedene Fortsetzungen existieren. Zunächst wir der Fall von immersierten Kreisscheiben in der Sphäre behandelt. Anschliessen werden diese Resultate auf allgemeine Flächen in Urbild und Bild erweitert.

URN: urn:nbn:de:tuda-tuprints-22027
Classification DDC: 500 Naturwissenschaften und Mathematik > 510 Mathematik
Divisions: 04 Department of Mathematics > Applied Geometry
Date Deposited: 18 Jun 2010 11:03
Last Modified: 07 Dec 2012 11:57
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/2202
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