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Noel J. Hicks Notes on Differential Geometry with 25 figures and 100 problems p = exp sY γ(a) U γ(t) Y φ γ(t) p X 2 (t,s) R geodesic a (t,0) b γ(b) Revised and modernized edition by TXromancers E TXromancers E Acollaborative typesetting project This book is the product of a community effort. It was typeset by T Xromancers: an enthusiast group of mathematicians (for the E most part), consisting of people organized on Discord. The reader should contact amanzoo1@asu.edu if they are interested in joining the group. More books in this series: • J. F Adams, Stable Homotopy and Generalised Homology – Availableathttps://people.math.rochester.edu/faculty/doug/ otherpapers/Adams-SHGH-latex.pdf • Noel J. Hicks, Notes on Differential Geometry – Availableathttps://aareyanmanzoor.github.io/assets/hicks. pdf • Hideyuki Matsumura, Commutative Algebra – (Coming soon!) Noel J. Hicks Notes on Differential Geometry Revised and modernized edition by TXromancers E Typeset by T Xromancers. E This digital book is meant for educational and scholarly pur- poses only, itself being a derivative work containing a transcrip- tion of a copyrighted publication. We claim no ownership of the original work’s contents; all rights to the original book’s contents belong to the respective publisher. We believe that our use of the original work constitutes fair use, as defined under section 107 of the United States Copyright Act of 1976, wherein allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Commercialization of this digital book is prohibited. Original edition: 1965 This edition: 2022
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