
Ebook Info
- Published: 2012
- Number of pages: 460 pages
- Format: PDF
- File Size: 17.58 MB
- Authors: Sylvestre Gallot
Description
This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The book features numerous exercises with full solutions and a series of detailed examples are picked up repeatedly to illustrate each new definition or property introduced.
User’s Reviews
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐Put this great text in my cart, within three days the price increased by over twenty dollars. Sad to say it happens all the time in this bookstore, like no other.
⭐Serious grammatical issues in the first chapter render passages incomprehensible .
⭐Vey clear and complete. I suggest very hard.
⭐This was the official 100% recommended, guaranteed text for my Riemannian Geometry class. Supplementing this book with do Carmo’s text, I was able to get something out of the class, but I think rereading both of them now would be much better. The condensed one chapter course on manifolds at the beginning of GHL wasn’t sufficient to learn/relearn everything I needed to know in order to read it for the first time.
⭐It may be a fine text, but I am quite put off by the horrible grammar throughout the book. At least they should get the conjugations right, even if their English is elementary throughout.
⭐Simply, an excellent book. Lots of interesting exercises with worked solutions.You will find a very interesting differential account of homogeneous spaces.The projective space is deeply analyzed (rare in this kind of books).Finally, for the reader interested in current research in differential geometry,this book will be very useful.
⭐Great book.
⭐Perhaps as a textbook it works, but this is a terrible book to use as a reference. To my immense frustration, the index doesn’t give page numbers but section numbers, for example 5.3, with no indication where this is. Combined with the weird numbering system used for theorems and equations, it makes finding things awkward. This probably sounds like a small gripe and not worthy of giving a 1 star review, but the issue is compounded by the way theorems and definitions do not elaborate on the notation used.For example: 5.3: “The Gaussian Curvature K of the 2 dimensional subspace of T_m M…”Okay wait what’s T_m M? Well let’s work backwards, since there isn’t any notation page. It’s mentioned several times at the beginning of the chapter but no hints as to wait it is are given. It isn’t in chapter 4 at all. It’s mentioned several times in chapter 3, but again never named. How hard is it, once, to replace “blah blah blah in TmM ” with “bla blah blah in the [whatever it is], TmM”. Fine I give up, just tell me about normal curvature. Repeat the same process for a different notation.Instead the book assumes you have perfect knowledge of the notation they use, notation that in several cases I couldn’t find a definition for in the entire book.
⭐Questo testo è un classico della geometria riemanniana. Ha un’ampia introduzione a varietà differenziabili e calcolo tensoriale e un ampio capitolo sulla curvatura. La trattazione è squisitamente geometrica e arricchita da molti esempi ed esercizi. Un libro da avere, per gli amanti del genere.Livre super sur la Géométrie Riemannienne, une belle introduction sur les variétés différentielle en généralje recommande se livre pour ceux qui veux faire de la géométrie différentielleVendeur Je l’ai acheté en temps qu’un livre d’occasion, mais il était plus que neuf ! il n’a jamais été ouvert ! très bon emballage
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