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Topological, Differential and Conformal Geometry of Surfaces

, the classification of compact connected oriented surfaces, Stokes' Theorem, fixed point theorems and rigidity theorems. There is also a novel;

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A Guide to the Classification Theorem for Compact Surfaces

classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to;

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Differential Forms and Applications

intrinsic geometry of surfaces. This is then collated in the last chapter to present Chern's proof of the Gauss-Bonnet theorem for compact surfaces.;

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Curves and Surfaces

curvature, and, in the complementary material, a full proof of minimizing properties of geodesics and of the Hopf-Rinow theorem for surfaces). Then;

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A Survey on Classical Minimal Surface Theory

scale of curvature and topology, the local removable singularity theorem, embedded minimal surfaces of finite genus, topological classification;

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Differential Topology

comprise vector fields and integral curves, surgery, classification of orientable surfaces, and Whitney's embedding theorem. Suitable for advanced;

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Curves and Surfaces

-vertices theorem for plane curves that are not necessarily convex. Besides being an introduction to the lively subject of curves and surfaces, this;

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Geometry and Topology of Manifolds

classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points;

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Uniformization, Riemann-Hilbert Correspondence, Calabi-Yau Manifolds & Picard-Fuchs Equations

The uniformization theorem of Riemann surfaces is one of the most beautiful and important theorems in mathematics. Besides giving a clean;

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Introduction to Algebraic Curves

topology of compact surfaces) and proceeded directly to the Riemann-Roch and Abel theorems. This book differs from a number of recent books on this;

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Riemann Surfaces by Way of Complex Analytic Geometry

This book establishes the basic function theory and complex geometry of Riemann surfaces, both open and compact. Many of the methods used;

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Graphs on Surfaces

Theorem and some of its extensions, the classification of surfaces, and the Heffter-Edmonds-Ringel rotation principle, which makes it possible to;

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Mostly Surfaces

This book presents a number of topics related to surfaces, such as Euclidean, spherical and hyperbolic geometry, the fundamental group;

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Topological Graph Theory

and other areas of mathematics. Discussion of imbeddings into surfaces is combined with a complete proof of the classification of closed;

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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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Topology as Fluid Geometry

-Hurwitz Theorem, and the Classification Theorem for Compact 2-manifolds. Volume 2 also includes a number of theorems usually assumed without proof;

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An Introduction to Riemann Surfaces

This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $bar{delta;

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Variational Principles for Discrete Surfaces

computer graphics. It provides a systematic introduction to the geometry of polyhedral surfaces based on the variational principle. This new volume;

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Complex Non-Kähler Geometry: Cetraro, Italy 2018

Alberto Verjovsky and Andrei Teleman introduced tools in the theory of foliations and analytic techniques for the classification of compact;

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Geometry, Dynamics And Topology Of Foliations

field. A number of theorems, nowadays considered to be classical, like the Reeb Stability Theorem, Haefliger's Theorem, and Novikov Compact leaf;

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Introduction to Analysis in Several Variables

This text was produced for the second part of a two-part sequence on advanced calculus, whose aim is to provide a firm logical foundation;

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Lectures on Riemann Surfaces - Jacobi Varieties

A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces;

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Lectures on Riemann Surfaces - Jacobi Varieties

A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces;

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Covering Dimension of C*-Algebras and 2-Coloured Classification

equivalence by their behaviour on traces; this is based on a $1$-coloured classification theorem for certain order zero maps, also in terms of tracial;

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Open Algebraic Surfaces

has established a classification theory of open algebraic surfaces comparable to the Enriques-Kodaira theory. This research provides powerful;

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Birational Geometry of Foliations

. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic surfaces.;

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Surgery on Compact Manifolds

), Browder's converse to the Hirzebruch signature theorem for the existence of a manifold in a simply connected homotopy type (1962).It also includes;

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