Classification of Immersions which are Bounded by Curves in Surfaces.
Technische Universität, Darmstadt
[Ph.D. Thesis], (2010)
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|Item Type:||Ph.D. Thesis|
|Title:||Classification of Immersions which are Bounded by Curves in Surfaces|
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.
|Place of Publication:||Darmstadt|
|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|
|Referees:||Grosse-Brauckmann, Prof. Dr. Karsten and Kusner, Prof. Dr. Robert B.|
|Refereed:||11 May 2010|