1
vote
1answer
100 views

Which book will discuss torsion tensor and affine connection in detail? [closed]

Which book about differential geometry will have these formula about torsion tensor? $$\nabla_{j}T^{i}_{kl}+\nabla_{k}T^{i}_{lj}+\nabla_{l}T^{i}_{jk}=R^{i}_{jkl}+R^{i}_{klj}+R^{i}_{ljk}$$ ...
3
votes
3answers
298 views

undergraduate handle decomposition. Reference

As the title says, I'm searching for a nice textbook for introducing the theory of handle decomposition of manifolds to undergraduate students.
5
votes
1answer
894 views

Hodge Theory (Voisin)

I have a strong understanding of Representation Theory but am interested in learning from Voisin, Hodge Theory and Complex Algebraic Geometry. What are the prerequisites to learning from this ...
13
votes
5answers
977 views

Book Recommendation - PDE's for geometricians / topologists

I am looking for recommendations for a book on partial differential equations, which is not written for applied mathematicians but rather focused on geometry and applications in topology, as well as ...
2
votes
6answers
1k views

Differential geometry study materials

I want to start studying differential geometry but I can't seem to find a proper starting path. Whenever I try to search for differential geometry books/articles I get a huge list. I know that it is a ...
3
votes
3answers
953 views

looking for a book on banach manifolds

Hi, I am looking for a book on Banach manifolds. Can somebody recommend me something. Thanks in advance. leo
3
votes
5answers
1k views

What is a basic textbook to studying symmetric spaces?

I want to study basic properties of symmetric spaces. What is a basic textbook?
4
votes
2answers
489 views

frechet manifolds book

hi, does anyone know a good book or some lecture notes on the theory of frechet manifolds ?
6
votes
2answers
780 views

A book on Banach Manifold for a Dynamicist

Hi all, Could you give me a suggestion of suitable book about Banach Manifolds for someone that have background in functional analysis at the level of Conway's book and Do Carmo's book on Riemannian ...
17
votes
10answers
5k views

Riemannian Geometry Introductory Text

I have studied differential geometry, and am looking for basic introductory texts on Riemmanian geometry. My target is eventually Kähler geometry, but certain topics like geodesics, curvature, ...
10
votes
17answers
9k views

Undergraduate Differential Geometry Texts

Can anyone suggest any basic undergraduate differential geometry texts on the same level as Manfredo do Carmo's Differential Geometry of Curves and Surfaces other than that particular one? (I know a ...