Tight and Taut Submanifolds
by Thomas E. Cecil, Shiing-shen Chern
Publisher: Cambridge University Press 1997
Number of pages: 349
Tight and taut submanifolds form an important class of manifolds with special curvature properties, one that has been studied intensively by differential geometers since the 1950's. This book contains six in-depth articles by leading experts in the field and an extensive bibliography.
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by Liviu I. Nicolaescu - University of Notre Dame
This is arguably one of the deepest and most beautiful results in modern geometry, and it is surely a must know for any geometer / topologist. It has to do with elliptic partial differential operators on a compact manifold.
by Alexander I. Bobenko (ed.) - Springer
This is the book on a newly emerging field of discrete differential geometry. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics.
by Paul Bracken (ed.) - InTech
Differential geometry is a very active field of research and has many applications to areas such as physics and gravity, for example. The papers in this book cover a number of subjects which will be of interest to workers in these areas.
by David Bachman - arXiv
This is a textbook on differential forms. The primary target audience is sophomore level undergraduates enrolled in a course in vector calculus. Later chapters will be of interest to advanced undergraduate and beginning graduate students.