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Minimal Surfaces from a Complex Analytic Viewpoint

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods;

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Minimal Surfaces from a Complex Analytic Viewpoint

This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods;

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Harmonic Mappings in the Plane

theory of planar harmonic mappings, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces;

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A Course in Minimal Surfaces

Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have;

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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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Analytic Functions

A survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure;

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Analytic Functions

A survey of recent developments both in the classical and modern fields of the theory. Contents include: The complex analytic structure;

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Riemann Surfaces by Way of Complex Analytic Geometry

in the book are adaptations and simplifications of methods from the theories of several complex variables and complex analytic geometry and would;

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Complex Geometry of Slant Submanifolds

renowned researchers. The book discusses a wide range of topics, including slant surfaces, slant submersions, nearly Kaehler, locally conformal;

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Survey Of Minimal Surfaces

Clear and comprehensive, this examination of minimal surfaces features twelve sections that discuss parametric and non-parametric surfaces;

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Minimal Submanifolds In Pseudo-riemannian Geometry

, such as the Weierstrass representation formula for minimal surfaces, and the minimizing properties of complex submanifolds, are presented;

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Principles of Algebraic Geometry

tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results;

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London Mathematical Society Lecture Note Series

generalization of semialgebraic and subanalytic geometry. These notes give a self-contained treatment of the theory of o-minimal structures from a;

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Complex Algebraic Geometry

include the theory of surfaces from the viewpoint of recent higher-dimensional developments, providing an excellent introduction to more advanced;

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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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A Survey on Classical Minimal Surface Theory

Meeks and Perez present a survey of recent spectacular successes in classical minimal surface theory. The classification of minimal planar;

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Riemann Surfaces and Generalized Theta Functions

varieties) has long been basic to the study both of Riemann surfaces and of complex tori. A Riemann surface is naturally imbedded as an analytic;

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Introduction to Algebraic Curves

with minimal technical requirements (a working knowledge of elementary complex function theory and algebra together with some exposure to;

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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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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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Differential Geometry From A Singularity Theory Viewpoint

Differential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential;

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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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Lecture Notes on o-Minimal Structures and Real Analytic Geometry

This volume was produced in conjunction with the Thematic Program in o-Minimal Structures and Real Analytic Geometry, held from January to;

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Surveys in Differential Geometry 2013

analytic singularities; by Claude LeBrun, on Calabi energies of extremal toric surfaces; by Mu-Tao Wang, concerning mean curvature flows and;

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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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Analytic Functions

a firm foundation in the theory of functions of a complex variable. The treatment departs from traditional presentations in its early;

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