Selected expository works of Shing-Tung Yau with commentary. Volume II
type: Item
instance of: scholarly article
zbMATH Open document ID: 1401.01046
publication date: 2014-10-21T00:00:00Z
Mathematics Subject Classification ID: 01A75
Mathematics Subject Classification ID: 53-03
Mathematics Subject Classification ID: 14-03
Mathematics Subject Classification ID: 32-03
Mathematics Subject Classification ID: 58-03
Mathematics Subject Classification ID: 83-03
zbMATH DE Number: 6359381
zbMATH Keywords: differential geometry
zbMATH Keywords: algebraic geometry
zbMATH Keywords: partial differential equations
zbMATH Keywords: topology
zbMATH Keywords: mathematical physics
author: Shing-Tung Yau
MaRDI profile type: Publication
title: Selected expository works of Shing-Tung Yau with commentary. Volume II
published in: Advanced Lectures in Mathematics (ALM)
review text: For the first part of this review see Volume I [Zbl 1401.01045].NEWLINENEWLINEIn \textbf{Volume II}, 11 papers of Yau are presented, each article having an introductory commentary (including also some history) by S.-T. Yau. The expository papers of Yau are arranged according to the years of publication. The following topics studied by Yau and his co-workers are pointed-out:NEWLINENEWLINE\smallskipNEWLINENEWLINE- Perspectives on geometric analysis;NEWLINENEWLINE\smallskipNEWLINENEWLINE- A survey on Calaby-Yau manifolds;NEWLINENEWLINE\smallskipNEWLINENEWLINE- Linear waves in the Kerr geometry: a mathematical voyage to black hole physics;NEWLINENEWLINE\smallskipNEWLINENEWLINE- Recent development on the geometry of Teichmüller and moduli spaces of Riemannian surfaces;NEWLINENEWLINE\smallskipNEWLINENEWLINE- Deformation of Kähler-Einstein metric;NEWLINENEWLINE\smallskipNEWLINENEWLINE- String theory and the geometry of the universe's hidden dimensions;NEWLINENEWLINE\smallskipNEWLINENEWLINE- Shiing-Shen Chern (1911--2004);NEWLINENEWLINE\smallskipNEWLINENEWLINE- A survey on recent development in computational quasi-conformal geometry;NEWLINENEWLINE\smallskipNEWLINENEWLINE- Recent development of computational conformal geometry;NEWLINENEWLINE\smallskipNEWLINENEWLINE- Mirror symmetry and localizations;NEWLINENEWLINE\smallskipNEWLINENEWLINE- Non-Kähler Calabi-Yau manifolds.NEWLINENEWLINEThis volume continues with commentaries of other authors on the work of Yau and ends with a list of publication of Yau and a list of his Ph.D. and postdoctoral students.NEWLINENEWLINEThe two volumes represent indeed excellent material in the wonderful field of mathematics. Yau's dedication to mathematics enriches many subjects, as differential geometry, differential equations, topology, algebraic geometry and mathematical physics.NEWLINENEWLINEFrom the publisher's description: ``His contributions have had an influence on both physics and mathematics, and he has long been active at the interface …
reviewed by: Adela-Gabriela Mihai
description: scientific article; zbMATH DE number 6359381