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Lectures on Minimal Surfaces

This 1989 monograph deals with parametric minimal surfaces in Euclidean space. The author presents a broad survey which extends from the;

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Survey Of Minimal Surfaces

, surfaces that minimize area, isothermal parameters on surfaces, Bernstein's theorem, minimal surfaces with boundary, and many other topics.

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A Course in Minimal Surfaces

regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein's classical work, and;

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Minimal Surfaces from a Complex Analytic Viewpoint

particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic;

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Minimal Surfaces from a Complex Analytic Viewpoint

particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic;

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A Survey on Classical Minimal Surface Theory

, conformal structure of minimal surfaces, minimal annular ends with infinite total curvature, the embedded Calabi-Yau problem, local pictures on the;

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Lectures on Vector Bundles over Riemann Surfaces. (MN-6)

The description for this book, Lectures on Vector Bundles over Riemann Surfaces. (MN-6), will be forthcoming.;

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Lectures on Quantum Mechanics

Four concise, brilliant lectures on mathematical methods by the Nobel Laureate and quantum pioneer begin with an introduction to;

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Geometric Measure Theory and Minimal Surfaces

variational problems.- E. GIUSTI: Minimal surfaces with obstacles.- J. GUCKENHEIMER: Singularities in soap-bubble-like and soap-film-like surfaces.- D;

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The Global Theory of Minimal Surfaces in Flat Spaces

of the classical problems were solved and new classes of minimal surfaces found. Minimal surfaces are now studied from several different;

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Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces

chapters explore the general problem of Douglas and conformal mapping of multiply connected domains, concluding with a survey of minimal surfaces;

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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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Complex Geometry of Slant Submanifolds

Kaehler, and quaternion Kaehler manifolds. It provides several classification results of minimal slant surfaces, quasi-minimal slant surfaces;

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Lectures On Riemann Surfaces

This book grew out of lectures on Riemann surfaces given by Otto Forster at the universities of Munich, Regensburg, and Munster. It;

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Lectures on the Differential Geometry of Curves and Surfaces

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Introduction to Algebraic Curves

. However, the majority of books written on the subject discuss algebraic curves and compact Riemann surfaces separately, as parts of distinct;

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Minimal Submanifolds In Pseudo-riemannian Geometry

Since the foundational work of Lagrange on the differential equation to be satisfied by a minimal surface of the Euclidean space, the;

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Geometric Analysis

of geometric evolution, with more detailed lectures on Ricci flow and Kahler-Ricci flow, new progress on the analytic aspects of the Willmore equation;

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Algebraic Surfaces

Lectures: A. Beauville: Surfaces algebriques complexes.- F.A. Bogomolov: The theory of invariants and its applications to some problems;

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Dynamic Geometry on Time Scales

fundamental forms of surfaces on time scales. They are introduced minimal surfaces and geodesics on time scales. In the book are studied the covaraint;

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Plateau`s Problem and the Calculus of Variations. (MN-35)

This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and;

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Plateau`s Problem and the Calculus of Variations. (MN-35)

This book is meant to give an account of recent developments in the theory of Plateau's problem for parametric minimal surfaces and;

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Complex Algebraic Geometry

topics such as the minimal model program. Also included is an introduction to Hodge theory and intersection homology based on the simple;

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Lectures on K3 Surfaces

Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets;

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Lectures on Quantum Mechanics

The author of this concise, brilliant series of lectures on mathematical methods in quantum mechanics was one of the shining intellects;

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Harmonic Mappings in the Plane

classically by differential geometers because they provide isothermal (or conformal) parameters for minimal surfaces. More recently they have been;

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Minimal Submanifolds And Related Topics (Second Edition)

submanifolds.This new edition contains the author's recent work on the Lawson-Osserman's problem for higher codimension, and on Chern's problem for minimal;

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