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Jul 9, 2021 at 15:23 comment added Deane Yang thanks. I'll have to take a closer look at both to decide whether I want to use one if I teach undergraduate differential geometry in the spring.
Jul 9, 2021 at 13:26 comment added Anton Petrunin @DeaneYang Good question. Both books are on the geometric side; I do not know more geometric treatments --- so these books are closer to each other than to any other text on the subject. Our book is more rigorous, the covered materials are different; we tried to cover only techniques that are absolutely essential for further study of comparison geometry. (By the way, I guess you know that Toponogov's book is based on his lecture notes and published after his death, it explains some awkwardness of his book.)
Jul 8, 2021 at 18:17 comment added Deane Yang Anton, could you say a little about significant differences between your book and Toponogov's? I like that both books are only about 200 pages long. My guess is that your exercises are more challenging than Toponogov's. Do you think that's the case?
S Jul 8, 2021 at 8:08 history answered Anton Petrunin CC BY-SA 4.0
S Jul 8, 2021 at 8:08 history made wiki Post Made Community Wiki by Anton Petrunin