Riemannian Geometry (Oxford Science Publications) by T. J. Willmore (PDF)

Description

Recent developments in the field of differential geometry have been so extensive that a new book with particular emphasis on current work in Riemannian geometry is clearly necessary. This new text brilliantly serves that purpose and includes an elementary account of twistor spaces that will interest both applied mathematicians and physicists. It presents recent developments in the theory of harmonic spaces, commutative spaces, and mean-value theorems previously only available in the source literature. The final chapter provides the only account available in book form of manifolds known as `Willmore surfaces’, illustrated by a series of computer-generated pictures. This book is sure to be welcomed by researchers, teachers, and students interested in the latest developments in differential geometry.

User’s Reviews

Editorial Reviews: Review “Written in a delightfully readable fashion and many interesting references are furnished for the historical development of various topics. This book will be a valuable reference, especially to those interested in the differential geometry of immersed surfaces.”–Mathematical Reviews”The author’s insight, clarity, and expository talent have made this book a classic. In this edition it will be of even more value to students of mathematics and philosophy.” –Mathematical Reviews About the Author T. J. Willmore is at University of Durham.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is one of the most advanced text on Riemannian manifold that I have ever read. Especially the last two chapers which cover recent active topics in differential geometry, we can find only in research papers.

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