A Survey on Classical Minimal Surface Theory - Couverture souple

Perez, Joaquin

Couverture souple

ISBN 10 : 0821869124 ISBN 13 : 9780821869123

Editeur : American Mathematical Society, 2013

Synopsis

Meeks and Perez present a survey of recent spectacular successes in classical minimal surface theory. The classification of minimal planar domains in three-dimensional Euclidean space provides the focus of the account. The proof of the classification depends on the work of many currently active leading mathematicians, thus making contact with much of the most important results in the field. Through the telling of the story of the classification of minimal planar domains, the general mathematician may catch a glimpse of the intrinsic beauty of this theory and the authors' perspective of what is happening at this historical moment in a very classical subject. This book includes an updated tour through some of the recent advances in the theory, such as Colding-Minicozzi theory, minimal laminations, the ordering theorem for the space of ends, conformal structure of minimal surfaces, minimal annular ends with infinite total curvature, the embedded Calabi-Yau problem, local pictures on the scale of curvature and topology, the local removable singularity theorem, embedded minimal surfaces of finite genus, topological classification of minimal surfaces, uniqueness of Scherk singly periodic minimal surfaces, and outstanding problems and conjectures.

A propos du livre

À propos de l'auteur

William H. Meeks III, University of Massachusetts, Amherst, Amherst, MA, USA

Joaquín Pérez, Universidad de Granada, Granada, Spain

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 0821869124
• ISBN 13: 9780821869123
• Reliure: Broché
• Nombre de pages: 182
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible