Variational Problems in Riemannian Geometry

Variational Problems in Riemannian Geometry
Author: Paul Baird
Publisher: Birkhäuser
Total Pages: 158
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034879687

This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.

The Ricci Flow: Techniques and Applications

The Ricci Flow: Techniques and Applications
Author:
Publisher: American Mathematical Soc.
Total Pages: 562
Release: 2007-04-11
Genre: Mathematics
ISBN: 0821839462

This book gives a presentation of topics in Hamilton's Ricci flow for graduate students and mathematicians interested in working in the subject. The authors have aimed at presenting technical material in a clear and detailed manner. In this volume, geometric aspects of the theory have been emphasized. The book presents the theory of Ricci solitons, Kahler-Ricci flow, compactness theorems, Perelman's entropy monotonicity and no local collapsing, Perelman's reduced distance function and applications to ancient solutions, and a primer of 3-manifold topology. Various technical aspects of Ricci flow have been explained in a clear and detailed manner. The authors have tried to make some advanced material accessible to graduate students and nonexperts. The book gives a rigorous introduction to Perelman's work and explains technical aspects of Ricci flow useful for singularity analysis. Throughout, there are appropriate references so that the reader may further pursue the statements and proofs of the various results.

Contemporary Geometry

Contemporary Geometry
Author: Hung-Hsi Wu
Publisher: Springer Science & Business Media
Total Pages: 483
Release: 2013-06-29
Genre: Mathematics
ISBN: 1468479504

Early one morning in April of 1987, the Chinese mathematician J. -Q. Zhong died unexpectedly of a heart attack in New York. He was then near the end of a one-year visit in the United States. When news of his death reached his Chinese-American friends, it was immediately decided by one and all that something should be done to preserve his memory. The present volume is an outgrowth of this sentiment. His friends in China have also established a Zhong Jia-Qing Memorial Fund, which has since twice awarded the Zhong Jia-Qing prizes for Chinese mathematics graduate students. It is hoped that at least part of the reasons for the esteem and affection in which he was held by all who knew him would come through in the succeeding pages of this volume. The three survey chapters by Li and Treibergs, Lu, and Siu (Chapters 1-3) all center around the areas of mathematics in which Zhong made noteworthy contributions. In addition to putting Zhong's mathematical contributions in perspective, these articles should be useful also to a large segment of the mathematical community; together they give a coherent picture of a sizable portion of contemporary geometry. The survey of Lu differs from the other two in that it gives a firsthand account of the work done in the People's Republic of China in several complex variables in the last four decades.

Hamilton's Ricci Flow

Hamilton's Ricci Flow
Author: Bennett Chow
Publisher: American Mathematical Soc.
Total Pages: 648
Release: 2006
Genre: Mathematics
ISBN: 0821842315

Ricci flow is a powerful analytic method for studying the geometry and topology of manifolds. This book is an introduction to Ricci flow for graduate students and mathematicians interested in working in the subject. It also provides brief introductions to some general methods of geometric analysis and other geometric flows.

Contemporary Geometry

Contemporary Geometry
Author: Hongxi Wu
Publisher: Springer
Total Pages: 504
Release: 1991-08-31
Genre: Gardening
ISBN:

Early one morning in April of 1987, the Chinese mathematician J. -Q. Zhong died unexpectedly of a heart attack in New York. He was then near the end of a one-year visit in the United States. When news of his death reached his Chinese-American friends, it was immediately decided by one and all that something should be done to preserve his memory. The present volume is an outgrowth of this sentiment. His friends in China have also established a Zhong Jia-Qing Memorial Fund, which has since twice awarded the Zhong Jia-Qing prizes for Chinese mathematics graduate students. It is hoped that at least part of the reasons for the esteem and affection in which he was held by all who knew him would come through in the succeeding pages of this volume. The three survey chapters by Li and Treibergs, Lu, and Siu (Chapters 1-3) all center around the areas of mathematics in which Zhong made noteworthy contributions. In addition to putting Zhong's mathematical contributions in perspective, these articles should be useful also to a large segment of the mathematical community; together they give a coherent picture of a sizable portion of contemporary geometry. The survey of Lu differs from the other two in that it gives a firsthand account of the work done in the People's Republic of China in several complex variables in the last four decades.

The Ricci Flow

The Ricci Flow
Author:
Publisher:
Total Pages: 568
Release: 2007
Genre: Global differential geometry
ISBN:

Nagoya Mathematical Journal

Nagoya Mathematical Journal
Author:
Publisher:
Total Pages: 38
Release: 1979
Genre: Mathematics
ISBN:

Issue for Mar. 1970 dedicated to Professor Katuzi Ono on his 60th birthday with portrait, sketch of his life, and list of mathematical papers.

Notices of the American Mathematical Society

Notices of the American Mathematical Society
Author: American Mathematical Society
Publisher:
Total Pages: 628
Release: 1977
Genre: Electronic journals
ISBN:

Contains articles of significant interest to mathematicians, including reports on current mathematical research.