Perspectives In Scalar Curvature (In 2 Volumes)

Mikhail L Gromov, Jr. Lawson H Blaine (Herausgeber)

Buch | Hardcover

1636 Seiten

2023
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-12-4935-8 (ISBN)

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Volume I contains a long article by Misha Gromov based on his many years of involvement in this subject. It came from lectures delivered in Spring 2019 at IHES. There is some background given. Many topics in the field are presented, and many open problems are discussed. One intriguing point here is the crucial role played by two seemingly unrelated analytic means: index theory of Dirac operators and geometric measure theory.Very recently there have been some real breakthroughs in the field. Volume I has several survey articles written by people who were responsible for these results.For Volume II, many people in areas of mathematics and physics, whose work is somehow related to scalar curvature, were asked to write about this in any way they pleased. This gives rise to a wonderful collection of articles, some with very broad and historical views, others which discussed specific fascinating subjects.These two books give a rich and powerful view of one of geometry's very appealing sides.

Erscheinungsdatum	21.02.2023
Verlagsort	Singapore
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	981-12-4935-0 / 9811249350
ISBN-13	978-981-12-4935-8 / 9789811249358
Zustand	Neuware