Selected Papers IV

ISBN-13: 9781461490852 / Angielski / Miękka / 2013 / 463 str.

Shiing-Shen Chern

Opis

In recognition of professor Shiing-Shen Chern's long and distinguished service to mathematics and to the University of California, the geometers at Berkeley held an International Symposium in Global Analysis and Global Geometry in his honor in June 1979. The output of this Symposium was published in a series of three separate volumes, comprising approximately a third of Professor Chern's total publications up to 1979. Later, this fourth volume was published, focusing on papers written during the Eighties.

Spis treści

[123]* Geometrical Interpretation of the sinh-Gordon Equation.- [125] Remarks on the Riemannian Metric of a Minimal Submanifold.- [126] A Simple Proof of Frobenius Theorem.- [127] Foliations on a Surface of Constant Curvature and the Modified Korteweg-de Vries Equations.- [128] On the Bäcklund Transformations of KdV Equations and Modified KdV Equations.- [129] Web Geometry.- [130] Projective Geometry, Contact Transformations, and CR-Structures.- [131] Minimal Surfaces by Moving Frames.- [132] On Surfaces of Constant Mean Curvature in a Three-Dimensional Space of Constant Curvature.- [133] Deformation of Surfaces Preserving Principal Curvatures.- [134] On Riemannian Metrics Adapted to Three-Dimensional Contact Manifolds.- [135] Harmonic Maps of S2 into a Complex Grassmann Manifold.- [136] Moving Frames.- [139] Pseudospherical Surfaces and Evolution Equations.- [140] On a Conformal Invariant of Three-Dimensional Manifolds.- [142] Harmonic Maps of the Two-Sphere into a Complex Grassmann Manifold II.- [143] Tautness and Lie Sphere Geometry.- [144] Vector Bundles with a Connection.- [145] Dupin Submanifolds in Lie Sphere Geometry.- Topics in Differential Geometry, Institute for Advanced Study.- Minimal Submanifolds in a Riemannian Manifold.- Permissions.

O autorze

Shiing-Shen Chern (October 26, 1911 – December 3, 2004) was a Chinese-born American mathematician and is regarded as one of the leaders in differential geometry of the twentieth century. Chern graduated from Nankai University in Tianjin, China in 1930; he received an M.S. degree in 1934 from Tsinghua University in Beijing and his doctorate from the University of Hamburg, Germany in 1936. A year later he returned to Tsinghua as a Professor of Mathematics. Chern was a member of the Institute for Advanced Study at Princeton, New Jersey, from 1943 to 1945. In 1946 he returned to China to become Acting Director of the Institute of Mathematics at the Academia Sinica in Nanjing. Chern returned to the United States in 1949 and taught at the University of Chicago, where he collaborated with André Weil, and later at the University of California in Berkeley. In 1961 he became a naturalized U.S. citizen. Chern served as Vice-President of the American Mathematical Society (1963–64) and was elected to both the National Academy of Sciences and the American Academy of Arts and Sciences. He was awarded the National Medal of Science in 1975 and the Wolf Prize in 1983. He helped found and was the director of the Mathematical Sciences Research Institute in Berkeley (1981–84) and in 1985 played an important role in the establishment of the Nankai Institute of Mathematics in Tianjin, where he held several posts, including director, until his death.