Ricci Solitons in Low Dimensions

AvBennett Chow

Inbunden, Engelska, 2023

Del i serien Graduate Studies in Mathematics

1 620 kr

Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Häftad

1 064 kr

Beskrivning

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 resource for related courses or seminars centered on Ricci solitons.

Produktinformation

Utgivningsdatum:2023-11-30
Mått:178 x 254 x undefined mm
Vikt:408 g
Format:Inbunden
Språk:Engelska
Serie:Graduate Studies in Mathematics
Antal sidor:339
Förlag:American Mathematical Society
ISBN:9781470474287

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Mer om författaren

Bennett Chow, University of California, San Diego, La Jolla, CA.

Innehållsförteckning

Ricci flow singularity formationThe Ricci soliton equationThe $2$-dimensional classificationEstimates for shrinking Ricci solitonsClassification of $3$-dimensional shrinkersThe Bryant solitonExpanding and steady GRS and the flying wingBrendle's theorem on the uniqueness of $3$-dimensional steadiesGeometric preliminariesAnalytic preliminariesBibliographyIndex

Mer från samma författare

Ricci Flow: Techniques and Applications

Bennett Chow, Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg, Tom Ivey, Dan Knopf, Peng Lu, Feng Luo, Lei Ni

Inbunden, 2007

1 537 kr

Ricci Flow: Techniques and Applications

Bennett Chow

Inbunden, 2007

1 537 kr

Ricci Flow: Techniques and Applications

Bennett Chow

Inbunden, 2010

1 537 kr

Ricci Flow: Techniques and Applications

Bennett Chow, Sun-Chin Chu, David Glickenstein, Christine Guenther, James Isenberg

Inbunden, 2015

1 537 kr

Extrinsic Geometric Flows

Ben Andrews, Bennett Chow, Christine Guenther, Mat Langford

Häftad, 2020

1 175 kr

Introduction to Proof Through Number Theory

Bennett Chow

Häftad, 2023

1 064 kr

Hamilton's Ricci Flow

Bennett Chow, Peng Lu, Lei Ni

Häftad, 2006

1 106 kr

Lectures on Differential Geometry

Bennett Chow, Yutze Chow

Häftad, 2024

1 064 kr

Ricci Solitons in Dimensions $4$ and Higher

Bennett Chow, Brett Kotschwar, Ovidiu Munteanu

Häftad, 2025

1 620 kr

Mer från samma serie

Partial Differential Equations

Lawrence C. Evans

Häftad, 2010

1 218 kr

Differential Geometry, Lie Groups, and Symmetric Spaces

Sigurdur Helgason

Häftad, 2001

1 064 kr

Algebra: Chapter 0

Paolo Aluffi

Häftad, 2009

1 092 kr

Lectures on Differential Topology

Riccardo Benedetti

Häftad, 2022

1 022 kr

Inequalities in Matrix Algebras

Eric Carlen

Häftad, 2025

1 064 kr

Introduction to the H-Principle

K. Cieliebak, Y. Eliashberg, N. Mishachev

Häftad, 2024

1 064 kr

Distribution of Prime Numbers

Dimitris Koukoulopoulos

Häftad, 2020

1 064 kr

Toric Varieties

David A. Cox, John B. Little, Henry K. Schenck

Häftad, 2011

1 064 kr

Discrete Differential Geometry

Alexander I. Bobenko, Yuri B. Suris

Häftad, 2008

967 kr

Geometry and Topology of Manifolds

Vicente Munoz, Angel Gonzalez-Preito, Juan Angel Rojo

Häftad, 2020

1 064 kr

Du kanske också är intresserad av

Nyhet

Exit Adventskalender - Julens magi (SE)

Exit

499 kr