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Notices of the American Mathematical Society by Bennett Chow is a nonfiction available to read on EtoBox.

What is Notices of the American Mathematical Society about?

Ricci flow is an exciting subject of mathematics with diverse applications in geometry, topology, and other fields. It employs a heat-type equation to smooth an initial Riemannian metric on a manifold. The formation of singularities in the manifold's topology and geometry is a desirable outcome. Upon closer examination, these singularities often reveal intriguing structures known as Ricci solitons. This introductory book focuses on Ricci solitons, shedding light on their role in understanding singularity formation in Ricci flow and formulating surgery-based Ricci flow, which holds potential applications in topology. Notably successful in dimension 3, the book narrows its scope to low dimensions: 2 and 3, where the theory of Ricci solitons is well established. A comprehensive discussion of this theory is provided, while also establishing the groundwork for exploring Ricci solitons in higher dimensions. A particularly exciting area of study involves the potential applications of Ricci flow in comprehending the topology of 4-dimensional smooth manifolds. Geared towards graduate students who have completed a one-semester course on Riemannian geometry, this book serves as an ideal resou

Who reads Notices of the American Mathematical Society?

Author

Bennett Chow

Publisher

Mathematical Association of America; [Providence R.I.]: The Society, 1995-; American Mathematical Society (AMS); American Mathematical Society (ISSN 0002-9920)

Published

2024

Language

EN

ISBN

9781470474287

Category

nonfiction

Subjects

Mathematics, Stem