Presents a comprehensive selection of Professor Shing-Tung Yau's published mathematical papers of the years 1971 to 1991 - a period of groundbreaking accomplishments in numerous disciplines including geometric analysis, Kahler geometry, and general relativity.
Presents a comprehensive selection of Professor Shing-Tung Yau's published mathematical papers of the years 1971 to 1991 - a period of groundbreaking accomplishments in numerous disciplines including geometric analysis, Kahler geometry, and general relativity.
Presents a comprehensive selection of Professor Shing-Tung Yau's published mathematical papers of the years 1971 to 1991 - a period of groundbreaking accomplishments in numerous disciplines including geometric analysis, Kahler geometry, and general relativity.
These five volumes reproduce a comprehensive selection of Professor Shing-Tung Yau's published mathematical papers of the years 1971 to 1991 - a period of groundbreaking accomplishments in numerous disciplines including geometric analysis, Kahler geometry, and general relativity.
Presents a comprehensive selection of Professor Shing-Tung Yau's published mathematical papers of the years 1971 to 1991 - a period of groundbreaking accomplishments in numerous disciplines including geometric analysis, Kahler geometry, and general relativity.
Complex geometry has been extensively studied and developed since the 19th century. This volume examines the subject from a global, historical perspective. It begins with an essay on the historical development of complex geometry, concludes with a set of commentaries written by Yau on the broad subject of complex geometry and its applications.
In 1967, C.-C. Hsiung had the vision to form the Journal of Differential Geometry (JDG) - a journal dedicated to geometry alone. On the journal's fiftieth anniversary in 2017, a distinguished group of geometers gathered to present their papers at the annual JDG geometry and topology conference. This volume presents several of those papers.
Groups and group actions are probably the most central objects in mathematics. Comprising volumes 31, 32, 40 and 41 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts.
Groups and group actions are probably the most central objects in mathematics. Comprising volumes 31, 32, 40 and 41 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts.
Groups and group actions are probably the most central objects in mathematics. Comprising volumes 31, 32, 40 and 41 of the ALM series, the Handbook of Group Actions presents survey articles on the topic of group actions and how they appear in several mathematical contexts.
The uniformization theorem of Riemann surfaces is one of the most beautiful and important theorems in mathematics. This volume consists of expository papers written by experts from around the world, and is the first to put forth a comprehensive discussion of these topics, and of the relations between them.
During 2015-2016, Harvard University's Center of Mathematical Sciences and Applications hosted a year-long thematic program on nonlinear equations and their connections to geometry, physics, and computer science. This volume presents articles contributed by some of the participants in this program, and builds on the activities of that year.
Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education. Readers will find research papers by experts from around the world, interesting and timely articles on current applications, biographical and historical essays, profiles of important institutions of research and learning, and more.
During the 2015-2016 year at Harvard University's Center of Mathematical Sciences and Applications (CMSA), several researchers working in mathematical general relativity presented lectures on modern topics of research in the field of ""Non-linear Equations"". This volume presents articles - by those researchers and their co-authors - drawn from their CMSA lectures.
Due to a broad connection with many subjects in mathematics and physics, Riemann surfaces and their moduli spaces have been intensively studied and will continue to attract attention in years to come. Recently, there has been an explosion of interest in and work on tropical algebraic curves. This book is an accessible introduction to all these topics.
This volume consists of survey papers and introductions pertaining to Hodge theory, variation of Hodge structures, L(2)-methods in complex analysis and geometry, and related results in algebraic geometry. Contributors include some of the world's leading experts: Ayoub, Bierstone, Griffiths, M. Green, Hain, and Ohsawa.
Presents two sets of never-before-published notes from lectures given by S.-S. Chern. Differential Manifolds gives a smooth and rapid introduction to differential manifolds and differential geometry; Lectures on Integral Geometry is an accessible introduction to that subject.
Presents a set of never-before-published notes from lectures given by S.-S. Chern in 1951 on the topic of ""Minimal Submanifolds in a Riemannian Manifold"". Also presented are five of Chern's expository papers which complement the lecture notes and provide an overview of the scope and power of differential geometry.
Presents lively and engaging articles from the lecturers and the participants of the 23rd Goekova Geometry-Topology Conference, held in May/June 2016. Topics include manifolds, special holonomy, symplectic topology, gauge theory, Lie groups, hyperkahler manifolds, and more.
The International Congress of Chinese Mathematicians (ICCM) is an important event among the large international community of mathematicians of Chinese descent. Proceedings of the Sixth International Congress of Chinese Mathematicians presents the plenary talks and more than 60 invited talks from the Congress, reflecting the latest developments in mathematics.
These papers have been organised into five volumes by subject matter. The first volume deals with topology, the second with algebraic geometry, the third with geometric ideas, the fourth with geometric analysis, and the fifth with geometric flows.
Presents twelve important papers which have formed some the cornerstones of geometric analysis. Their subject matter ranges over the areas of conformal geometry, gauge theory, symplectic geometry, mean curvature, spectral theory, and general relativity.
Presents twelve important papers on algebraic and complex geometry - papers that have played important roles in the development of these subjects. The subject matter ranges from the birational geometry of varieties, to geometric structures of moduli spaces in algebraic and complex geometry, to the geometry of compact and non-compact Kohler manifolds.
Constructs a theory of modular forms for families of Calabi-Yau threefolds with Hodge numbers of the third cohomology equal to one. It discusses many differences and similarities between the new theory and the classical theory of modular forms defined on the upper half plane.
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