The Global Solutions to a Cartan's Realization Problem

Rui Loja Fernandes, Ivan Struchiner (Autoren)

Buch | Softcover

92 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7341-9 (ISBN)

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Focusing on novel research in pure and applied mathematics, this series compiles extensive papers in themed groups, offering in-depth exploration of complex mathematical ideas. Under strict editorial oversight and rigorous peer review, it fosters scholarly dialogue and high-quality study.

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.

Rui Loja Fernandes, University of Illinois at Urbana-Champaign, Illinois. Ivan Struchiner, Universidade de Sao Paulo, Sao Paolo, Brasil.

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

Erscheinungsdatum	12.06.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-7341-0 / 1470473410
ISBN-13	978-1-4704-7341-9 / 9781470473419
Zustand	Neuware