Differential Geometry of Curves and Surfaces

Professor Shoshichi Kobayashi was a Professor Emeritus at University of California, Berkeley. He passed away on August 29 in 2012. He was a student of Professor Kentaro Yano at the University of Tokyo. He was one of famous differential geometers not only in Japan but also in the world. He wrote 15 books both in Japanese and in English.

“There is a wealth of excellent text books on the differential geometry of curves and surfaces. A rare jewel among them is the recent translation of a Japanese classic written by Shoshichi Kobayaschi … . This volume is a superb addition to the current literature on the geometry of curves and surfaces, and it is of major interest for classroom study, as well for general use as a reference and eventually for self-study.” (Bogdan D. Suceavă, The Mathematical Intelligencer, Vol. 44 (1), March 2022)“This is an excellent book written in a clear and precise style. The entire material is carefully developed, a lot of beautiful examples supporting the understanding. This is certainly a book that strongly motivates the reader to continue studying differential geometry, passing from the case of curves and surfaces in 3-dimensional Euclidean space to manifolds.” (Gabriel Eduard Vilcu, zbMATH 1437.53001, 2020)“The book reaches admirable destinations with few formal prerequisites and contains enough material for a leisurely one-semester undergraduate course.” (MAA Reviews, March 8, 2020)

• Plane Curves and Space Curves.- Local Theory of Surfaces in the Space.- Geometry of Surfaces.- The Gauss-Bonnet Theorem.- Minimal Surfaces.