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Constant Mean Curvature Surfaces, Harmonic Maps and Integrable Systems

One of the most striking development of the last decades in the study of minimal surfaces, constant mean surfaces and harmonic maps is the;

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Minimal Surfaces: Integrable Systems and Visualisation: m

problems related to the mean curvature of surfaces in homogeneous 3-manifolds, like minimal surfaces, CMC surfaces and mean curvature flows;

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A Spectral Theory for Simply Periodic Solutions of the Sinh-Gordon Equation

-Gordon equation. Such solutions (if real-valued) correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral data for;

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Constrained Willmore Surfaces

of constant mean curvature surfaces in 3-dimensional space-forms, with, furthermore, preservation of both the space-form and the mean curvature, and;

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Selected Papers from the Journal of Differential Geometry 1967-2017, Volume 4

Ben Andrews and Haizhong Li on embedded constant mean curvature tori in the three-sphere. With a preface by Richard Schoen.;

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Path Integrals, Hyperbolic Spaces And Selberg Trace Formulae (2nd Edition)

In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant;

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Harmonic Maps, Conservation Laws and Moving Frames

The author presents an accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering recent;

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Harmonic Maps, Loop Groups, and Integrable Systems

Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have;

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Harmonic Maps, Loop Groups, and Integrable Systems

Harmonic maps are generalisations of the concept of geodesics. They encompass many fundamental examples in differential geometry and have;

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Constant Mean Curvature Surfaces with Boundary

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC;

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Constant Mean Curvature Surfaces with Boundary

The study of surfaces with constant mean curvature (CMC) is one of the main topics in classical differential geometry. Moreover, CMC;

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Harmonic Maps and Minimal Immersions with Symmetries (AM-130), Volume 130

The aim of this book is to study harmonic maps, minimal and parallel mean curvature immersions in the presence of symmetry. In several;

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The Willmore Conjecture and the Willmore Energy

This book is the first monograph dedicated entirely to Willmore energy and Willmore surfaces as contemporary topics in differential;

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Brakke s Mean Curvature Flow

< n). The family is the mean curvature flow if the velocity of motion of surfaces is given by the mean curvature at each point and time. It;

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The Global Theory of Minimal Surfaces in Flat Spaces

moduli, asymptotic geometry and surfaces of constant mean curvature in the hyperbolic space.;

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Mean Curvature Flow and Isoperimetric Inequalities

Geometric flows have many applications in physics and geometry. The mean curvature flow occurs in the description of the interface;

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Harmonic Maps Into Homogeneous Spaces

This book is concerned with harmonic maps into homogeneous spaces and focuses upon maps of Riemann surfaces into flag manifolds, to bring;

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Partial Differential Equations III

of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion;

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Introduction to Classical Integrable Systems

representations, loop groups and Riemann surfaces. These ideas are then illustrated with detailed studies of model systems. The connection between;

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Introduction to Classical Integrable Systems

representations, loop groups and Riemann surfaces. These ideas are then illustrated with detailed studies of model systems. The connection between;

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Curves and Surfaces

characterization of surfaces with constant Gaussian curvature, and the orientability of compact surfaces in R3.;

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Geometry and Spectra of Compact Riemann Surfaces

This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature -1 and their length and;

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Analysis Of Harmonic Maps And Their Heat Flows, The

manifolds in higher dimensions by Evans and Bethuel, and weakly harmonic maps from Riemannian surfaces by Helein, as well as on the structure of a;

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Differential Geometry - Proceedings Of The Viii International Colloquium

in this volume include: topology, geometry, dynamics and analysis of foliations, curvature, submanifold theory, Lie groups and harmonic maps.Among;

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Engineering Mathematics

: Convergence and divergence of the infinite series. Mean value theorems and expansions of functions. Functions of several variables. Curvature;

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Geometric Measure Theory and Minimal Surfaces

W.K. ALLARD: On the first variation of area and generalized mean curvature.- F.J. ALMGREN Jr.: Geometric measure theory and elliptic;

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Variational Problems in Differential Geometry

field. Topics discussed included recent developments in harmonic maps and morphisms, minimal and CMC surfaces, extremal Kahler metrics, the;

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