Ergebnisse für: Plateau problem
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This book presents a rigorous, self-contained, and systematic study of Cauchy–Riemann (CR) manifolds and their deep connections to singularity theory. It synthesizes foundational contributions to CR geometry and complex singularity theory, including the solution of the complex Plateau problem and ...
The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics. By contrast, the study of manifold-valued Sobolev maps is relatively new. The incentive to explore these spaces arose in the last forty years from geometr...
The most immediate one-dimensional variation problem is certainly the problem of determining an arc of curve, bounded by two given and having a smallest possible length. The problem of deter points mining and investigating a surface with given boundary and with a smallest possible area might then be...
The most immediate one-dimensional variation problem is certainly the problem of determining an arc of curve, bounded by two given and having a smallest possible length. The problem of deter points mining and investigating a surface with given boundary and with a smallest possible area might then be...
A convex function f may be called sublinear in the following sense; if a linear function l is ::=: j at the boundary points of an interval, then l:> j in the interior of that interval also. If we replace the terms interval and linear junction by the terms domain and harmonic function, we obtain a st...
A convex function f may be called sublinear in the following sense; if a linear function l is ::=: j at the boundary points of an interval, then l:> j in the interior of that interval also. If we replace the terms interval and linear junction by the terms domain and harmonic function, we obtain a st...
Das vorliegende Lehrbuch bietet eine moderne Einführung in die Differentialgeometrie etwa im Umfang einer einsemestrigen Vorlesung. Zunächst wird die Geometrie von Flächen im Raum behandelt. Hierbei wird die geometrische Anschauung des Lesers anhand vieler Beispiele gefördert, deren wichtigste K...
Hier wird zum ersten Mal Studenten eines Anfängerkurses in Differenzialgeometrie die Theorie der Minimalflächen zugänglich gemacht. Das Buch bleibt dabei auf das Wesentliche beschränkt, ist immer gut lesbar und ausführlich motiviert. Für die Neuauflage wurde der Text in Zusammenarbeit mit J.-H...
In this dissertation new constant mean curvature surfaces in homogeneous 3-manifolds are constructed. They arise as sister surfaces of Plateau solutions.
The first example, a two-parameter family of MC Hsurfaces in §igma( kappa) times mathbb{Rwith H in[0,1/2]and kappa+4H^2 leq0, has genus 0, 2kend...
The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics. By contrast, the study of manifold-valued Sobolev maps is relatively new. The incentive to explore these spaces arose in the last forty years from geometr...
This book presents a rigorous, self-contained, and systematic study of Cauchy–Riemann (CR) manifolds and their deep connections to singularity theory. It synthesizes foundational contributions to CR geometry and complex singularity theory, including the solution of the complex Plateau problem and ...