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 Darmstadt
Ph.D. Thesis, Primary publication

URL / URN: urn:nbn:de:tuda-tuprints-22027

Abstract

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.

Item Type:

Ph.D. Thesis

Erschienen:

2010

Creators:

Frisch, Dennis

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

Refereed:

11 May 2010

URL / URN:

urn:nbn:de:tuda-tuprints-22027

Abstract:

Alternative Abstract:

Alternative abstract

Language

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.

German

Classification DDC:

500 Science and mathematics > 510 Mathematics

Divisions:

04 Department of Mathematics > Applied Geometry
04 Department of Mathematics

Date Deposited:

18 Jun 2010 11:03

Last Modified:

05 Mar 2013 09:34

PPN:

Referees:

Grosse-Brauckmann, Prof. Dr. Karsten ; Kusner, Prof. Dr. Robert B.