I need a student solution manual in English with book name and authors. Can you recommend any that includes the introduction to differential geometry, tensors and Christoffel symbols?
There is a book Analysis and Algebra on Differentiable Manifolds: A Workbook for Students and Teachers by Gadea and Munoz Masque which probably comes closest to your request for the solution manual (although it's fairly advanced, you can pick quite a few elementary problems from there):
It is quite elementary and contains a lot of worked out examples.
Finally, there is a problem book in English (but again it's not exactly a solution manual):
Mishchenko, A. S.; Solovyev, Yu. P.; Fomenko, A. T. Problems in differential geometry and topology. Translated from the Russian by Oleg Efimov. ``Mir'', Moscow, 1985.
Book (Choquet-Bruhat1982) Choquet-Bruhat, Y.; DeWitt-Morette, C. & Dillard-Bleick, M. Analysis, Manifolds and Physics: Part I: Basics North-Holland, 1982
There is also the part II, that present problems and solutions. Maybe it is nos exaxtly what you want, but it can help.
Thanks, Artur Sergyeyev. These are useful textbooks. Unfortunately, it is probably impossible to find a Russian book, you talk about, regardless of Russian or English, which for me is no difference.
Thank you, Ljubomir,
Always links available :)
There should be more examples.
Thank you all.
I will consider all proposals at this moment each response is important to me.
Dear Valentina, thank you. If the books in Russian are also of interest, here is another small problem book (unfortunately without a solution manual) in Russian available online for free: A. Skopenkov, Basic differential geometry as a sequence of interesting problems, http://arxiv.org/abs/0801.1568
You can look it up under www/avaxhome then you choose e-Books and learning then you choose science then you choose Mathematics then you write in the research box the name of solution manual of any book in Math
In addition to many problems and solutions, this book has a high comfort level for beginners with its generous provision of drawings (see, e.g., p. 50).
i am taking a course in riamannian geometry and i would like to get acess a some issues about exercises solved in conexion, geodesics and curvature. someone can help me? best regards