The Global Solutions to a Cartan's Realization Problem (Memoirs of the American Mathematical Society)

Fernandes, Rui Loja/ Struchiner, Ivan

American Mathematical Society（2025/02発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 92 p.
• 言語 ENG
• 商品コード 9781470473419

Full Description

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Contents

Chapters
1. Introduction
2. Prelude: An example
3. $G$-structure groupoids and connections
4. $G$-structure algebroids and connections
5. Construction of solutions
6. $G$-integrability
7. Solutions to Cartan's Realization Problem
8. Symmetries and moduli space of solutions
9. $G$-structure algebroids and geometric structures
10. Extremal Kahler metrics on surfaces