Nicht aus der Schweiz? Besuchen Sie lehmanns.de
Geometry and Topology of Manifolds - Vicente Munoz, Angel Gonzalez-Preito, Juan Angel Rojo

Geometry and Topology of Manifolds

Surfaces and Beyond
Buch | Softcover
481 Seiten
2020
American Mathematical Society (Verlag)
978-1-4704-6132-4 (ISBN)
CHF 149,95 inkl. MwSt
  • Versand in 10-20 Tagen
  • Versandkostenfrei
  • Auch auf Rechnung
  • Artikel merken
Presents a novel approach to differential topology. The book’s main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal.
This book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal.

Each chapter briefly revisits basic results usually known to graduate students from an alternative perspective, focusing on surfaces. We provide full proofs of some remarkable results that sometimes are missed in basic courses (e.g., the construction of triangulations on surfaces, the classification of surfaces, the Gauss-Bonnet theorem, the degree-genus formula for complex plane curves, the existence of constant curvature metrics on conformal surfaces), and we give hints to questions about higher dimensional manifolds. Many examples and remarks are scattered through the book. Each chapter ends with an exhaustive collection of problems and a list of topics for further study.

The book is primarily addressed to graduate students who did take standard introductory courses on algebraic topology, differential and Riemannian geometry, or algebraic geometry, but have not seen their deep interconnections, which permeate a modern approach to geometry and topology of manifolds.

Vicente Munoz, Universidad de Malaga, Spain, Angel Gonzalez-Preito, Universidad Politecnica de Madrid, Spain Juan Angel Rojo, Universidad Politecnica de Madrid, Spain.

Topological surfaces
Algebraic topology
Riemannian geometry
Constant curvature
Complex geometry
Global analysis
Index
Symbols.

Erscheinungsdatum
Reihe/Serie Graduate Studies in Mathematics ; 208
Verlagsort Providence
Sprache englisch
Maße 178 x 254 mm
Gewicht 735 g
Themenwelt Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4704-6132-3 / 1470461323
ISBN-13 978-1-4704-6132-4 / 9781470461324
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Hans Marthaler; Benno Jakob; Katharina Schudel

Buch | Softcover (2024)
hep verlag
CHF 58,00