Global ETD Search

1	Instabile Extremalen des Shiffman-Funktionals Jakob, Ruben. January 2003 (has links) Diplomarbeit--Rheinische Friedrich-Wilhelms-Universität, 2003. / Includes bibliographical references (p. 102-103).
2	Minimal surfaces Chaparro, Maria Guadalupe 01 January 2007 (has links) The focus of this project consists of investigating when a ruled surface is a minimal surface. A minimal surface is a surface with zero mean curvature. In this project the basic terminology of differential geometry will be discussed including examples where the terminology will be applied to the different subjects of differential geometry. In addition the focus will be on a classical theorem of minimal surfaces referred to as the Plateau's Problem. Minimal surfaces Plateau's problem Geometry Differential Geometry Differential Minimal surfaces Plateau's problem. Geometry and Topology
3	Eine Anwendung des Mountain-Pass-Lemmas auf den Fragenkreis des Plateauschen Problems und eine Alternative zur Drei-Ounkte-Bedingung / Imbusch, Cordula. January 1900 (has links) Thesis (doctoral)--Rheinische Friedrich-Wilhelms-Universität Bonn, 1997. / Includes bibliographical references (p. 133-134).
4	An Introduction to Minimal Surfaces Ram Mohan, Devang S January 2014 (has links) (PDF) In the first chapter of this report, our aim is to introduce harmonic maps between Riemann surfaces using the Energy integral of a map. Once we have the desired prerequisites, we move on to show how to continuously deform a given map to a harmonic map (i.e., find a harmonic map in its homotopy class). We follow J¨urgen Jost’s approach using classical potential theory techniques. Subsequently, we analyze the additional conditions needed to ensure a certain uniqueness property of harmonic maps within a given homotopy class. In conclusion, we look at a couple of applications of what we have shown thus far and we find a neat proof of a slightly weaker version of Hurwitz’s Automorphism Theorem. In the second chapter, we introduce the concept of minimal surfaces. After exploring a few examples, we mathematically formulate Plateau’s problem regarding the existence of a soap film spanning each closed, simple wire frame and discuss a solution. In conclusion, a partial result (due to Rad´o) regarding the uniqueness of such a soap film is discussed. Minimal Surfaces Riemann Surfaces Harmonic Maps Plateau's Problem Riemannian Metric Hilbert Space Sobolev Space Energy of a Map Weingarten Map Catenoid Helicoid Enneper Surface Hurwitz's Automorphism Theorem Geometry

1

Page generated in 0.2894 seconds