Selected Works of Shing-Tung Yau 1971–1991: Volume 1

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, Kähler geometry, and general relativity.

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One of the most eminent of contemporary mathematicians, Shing-Tung Yau has received numerous honors, including the 1982 Fields Medal, considered the highest honor in mathematics, for his work in differential geometry. He is known also for his work in algebraic and Kähler geometry, general relativity, and string theory. His influence in the development and establishment of these areas of research has been great.

These five volumes reproduce a comprehensive selection of his published mathematical papers of the years 1971 to 1991—a period of groundbreaking accomplishments in numerous disciplines including geometric analysis, Kähler geometry, and general relativity.

The editors have organized the contents of this collection by subject area—metric geometry and minimal submanifolds; metric geometry and harmonic functions; eigenvalues and general relativity; and Kähler geometry.

Also presented are expert commentaries on the subject matter, and personal reminiscences that shed light on the development of the ideas which appear in these papers.