libcats.org
Главная

The Ricci flow: An introduction

Обложка книги The Ricci flow: An introduction

The Ricci flow: An introduction

,
The Ricci flow is a powerful technique that integrates geometry, topology, and analysis. Intuitively, the idea is to set up a PDE that evolves a metric according to its Ricci curvature. The resulting equation has much in common with the heat equation, which tends to "flow" a given function to ever nicer functions. By analogy, the Ricci flow evolves an initial metric into improved metrics. Richard Hamilton began the systematic use of the Ricci flow in the early 1980s and applied it in particular to study 3-manifolds. Grisha Perelman has made recent breakthroughs aimed at completing Hamilton's program. The Ricci flow method is now central to our understanding of the geometry and topology of manifolds. This book is an introduction to that program and to its connection to Thurston's geometrization conjecture. The authors also provide a "Guide for the hurried reader", to help readers wishing to develop, as efficiently as possible, a nontechnical appreciation of the Ricci flow program for 3-manifolds, i.e., the so-called "fast track".
Популярные книги за неделю:

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb

The Meme Machine

Автор:
Категория: psychology, memetics, sociology
Размер книги: 1.72 Mb
Только что пользователи скачали эти книги:

Briggs, Patricia - Moon Called

Автор:
Размер книги: 647 Kb

Forest Genetics

Автор: , Автор: , Автор:
Категория: Biology, Plants and Mushrooms
Размер книги: 49.72 Mb

Ship to Shore

Автор:
Размер книги: 1 Kb

Special Educational Needs in Schools, 2nd Edition

Автор:
Категория: Образование
Размер книги: 616 Kb

Shifting Plains (Sons of Destiny)

Автор:
Размер книги: 1011 Kb

The Cry at Midnight

Автор:
Категория: fiction
Размер книги: 148 Kb

Liefde Na De Dood

Автор:
Категория: fiction
Размер книги: 935 Kb