Author: Publisher:
ISBN: 9814476846
Category :
Languages : en
Pages :
Book Description
Inspired by S S Chern
Author: Inspired by S.S. Chern
Author: Phillip GriffithsPublisher: Nankai Tracts in Mathematics
ISBN: 9789812700612
Category : Mathematics
Languages : en
Pages : 0
Book Description
Shiing-Shen Chern (1911-2004) was one of the leading differential geometers of the twentieth century. In 1946, he founded the Mathematical Institute of Academia Sinica in Shanghai, which was later moved to Nanking. In 1981, he founded the Mathematical Sciences Research Institute (MSRI) at Berkeley and acted as the director until 1984. In 1985, he founded the Nankai Institute of Mathematics in Tianjin. He was awarded the National Medal of Science in 1975; the Wolf Prize in mathematics in 1984; and the Shaw Prize in mathematical sciences in 2004.Chern's works span all the classic fields of differential geometry: the Chern-Simons theory; the Chern-Weil theory, linking curvature invariants to characteristic classes; Chern classes; and other areas such as projective differential geometry and webs that are mathematically rich but currently have a lower profile. He also published work in integral geometry, value distribution theory of holomorphic functions, and minimal submanifolds.Inspired by Chern and his work, former colleagues, students and friends -- themselves highly regarded mathematicians in their own right -- come together to honor and celebrate Chern's huge contributions. The volume, organized by Phillip Griffiths of the Institute for Advanced Study (Princeton), contains contributions by Michael Atiyah (University of Edinburgh), C-M Bai (Nankai), Robert Bryant (Duke University), Kung-Ching Chang (Peking University), Jeff Cheeger (New York University), Simon K Donaldson (Imperial College), Hélène Esnault (Universität Duisburg-Essen), Mo-Lin Ge (Nankai), Mark Green (University of California at Los Angeles), Phillip Griffiths (Institute for Advanced Study), F Reese Harvey (Rice University), Alain Hénaut (Université Bordeaux 1), Niky Kamran (McGill University), Bruce Kleiner (Yale), H Blaine Lawson, Jr (Suny at Stony Brook), Yiming Long (Nankai), Xiaonan Ma (UMR 7640 du CNRS), Luc Pirio (IRMAR, France), Graeme Segal (Oxford), Gang Tian (MIT), Jean-Marie Trepreau (Institut de Mathématiques de Jussieu), Jeff Viaclovsky (MIT), Wei Wang (Nankai), Wentsun Wu (Chinese Academy of Sciences), C N Yang (Tsinghua), Tan Zhang (Murray State University), Weiping Zhang (Nankai) and others.
S. S. Chern
Author: Shing-Tung YauPublisher:
ISBN: 9781571462411
Category : Geometry, Differential
Languages : en
Pages : 366
Book Description
Deals with the life and work of the great twentieth-century mathematician Shiing-Shen Chern. Included are numerous pages of photographs; an autobiographical article recounting the formation of a mathematical mind and of a great war; historical and personal reminiscences by thirty distinguished mathematicians and physicists including Bott, Griffiths, Lawson, Nirenberg, Singer, Yang, Yau, and others; and a discussion of 100 open problems in geometry. The book is essential for anyone who is interested in understanding Chern and his influence upon twentieth-century century mathematics.
Selected Papers
Author: Shiing-Shen ChernPublisher: Springer Science & Business Media
ISBN: 9780387968162
Category : Mathematics
Languages : en
Pages : 486
Book Description
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, a fourth volume was published, focusing on papers written during the Eighties. This second volume comprises selected papers written between 1932 and 1965.
Mathematician And His Mathematical Work, A: Selected Papers Of S S Chern
Author: Shiu-yuen ChengPublisher: World Scientific
ISBN: 9814499978
Category : Mathematics
Languages : en
Pages : 732
Book Description
This volume is about the life and work of Shiing-Shen Chern (1911-), one of the leading mathematicians of this century. The book contains personal accounts by some friends, together with a summary of the mathematical works by Chern himself. Besides a selection of the mathematical papers the book also contains all his papers published after 1988.
Lectures on Differential Geometry
Author: S S ChernPublisher: World Scientific Publishing Company
ISBN: 9813102985
Category : Mathematics
Languages : en
Pages : 368
Book Description
This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives.
Complex Manifolds without Potential Theory
Author: Shiing-shen ChernPublisher: Springer Science & Business Media
ISBN: 1468493442
Category : Mathematics
Languages : en
Pages : 158
Book Description
From the reviews of the second edition: "The new methods of complex manifold theory are very useful tools for investigations in algebraic geometry, complex function theory, differential operators and so on. The differential geometrical methods of this theory were developed essentially under the influence of Professor S.-S. Chern's works. The present book is a second edition... It can serve as an introduction to, and a survey of, this theory and is based on the author's lectures held at the University of California and at a summer seminar of the Canadian Mathematical Congress.... The text is illustrated by many examples... The book is warmly recommended to everyone interested in complex differential geometry." #Acta Scientiarum Mathematicarum, 41, 3-4#
S.S. Chern
Author: Shing-Tung YauPublisher:
ISBN:
Category : Biography & Autobiography
Languages : en
Pages : 376
Book Description
In the summer of 1990, S.Y. Cheng and S.-T. Yau organized a conference in honour of their professor S.S. Chern on the occasion of his 79th birthday. This volume contains personal reminiscences from some of his friends and students. The lectures reflect his wisdom and warmth toward young geometers.
Topics in Differential Geometry
Author: Shiing-Shen ChernPublisher:
ISBN:
Category : Geometry, Differential
Languages : en
Pages : 230
Book Description
Exterior Differential Systems
Author: Robert L. BryantPublisher: Springer Science & Business Media
ISBN: 1461397146
Category : Mathematics
Languages : en
Pages : 483
Book Description
This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e. , submanifolds satisfying all the equations of the system. A fundamental fact is that every equation implies the one obtained by exterior differentiation, so that the complete set of equations associated to an exterior differential system constitutes a differential ideal in the algebra of all smooth forms. Thus the theory is coordinate-free and computations typically have an algebraic character; however, even when coordinates are used in intermediate steps, the use of exterior algebra helps to efficiently guide the computations, and as a consequence the treatment adapts well to geometrical and physical problems. A system of partial differential equations, with any number of inde pendent and dependent variables and involving partial derivatives of any order, can be written as an exterior differential system. In this case we are interested in integral manifolds on which certain coordinates remain independent. The corresponding notion in exterior differential systems is the independence condition: certain pfaffian forms remain linearly indepen dent. Partial differential equations and exterior differential systems with an independence condition are essentially the same object.
