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Differential Geometry

- Manifolds. Tensors and forms. Connections and curvature. Differential and algebraic topology
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
1 31,139
This is an example from Bott and Tu 's book DFAT(page 125).The example is in the image.I don't understand why can we...
Nov22-11 08:49 PM
3 1,569
Could someone shortly summarise the essence of Stone's theorem ? What is the difference between Stone's theorem and...
Jun16-13 04:22 PM
5 2,053
(E, B, V) a vector bundle.EndE is the set of endomorphisms of E, then if g belongs EndE therefore g is a linear V-> V...
Oct12-10 06:21 AM
1 752
Well really.... how do you figure it out? Thanks for your help.
Apr24-05 03:28 PM
1 1,541
Since there are some equations in my question. I write my question in the following attachment. It is about the...
Jan24-05 04:09 PM
4 4,519
I'm looking for help understanding the coordinate ring. The definition I have roughly says There is a surjection ...
Apr7-10 12:30 PM
0 1,417
Hi, I'm trying to understand the fiber bundle formulation of gauge theory at the moment, and I'm stuck on the...
Nov29-12 09:07 PM
2 1,025
This may seem like a foolish question, but I can't seem to find the answer anywhere. Also, please forgive the question...
Nov10-10 11:56 AM
4 1,120
Unless I'm mistaken about something, the Bing metrization theorem is more or less only a corrolary of the...
Dec31-10 10:50 AM
2 1,564
Let $$(M,g)$$ be an oriented Remannian surface. Then globally $$(M,g)$$ has a canonical area-2 form $$\mathrm{d}M$$...
Oct18-12 08:34 AM
4 981
Hi I do 3D modeling and lately i have been trying to make some more theoretic diagrams about the whole thing....
May10-11 01:29 AM
3 1,332
Hi! I'm perusing fractals out of personal interest. Although I come from physics, I have a background in math-major...
May20-09 05:29 PM
1 2,044
Hi. I was wondering if you guys can refer me to the best possible text that teaches the computations in tensor...
Jan5-07 02:02 PM
31 13,056
Hello All, I'm programming an applet and run over a problem I can't solve (hope this is the right place to post...
Apr19-12 04:47 AM
10 1,954
Howdy all! I've been wracking (or wrecking) my brain trying to figure out how one might stack tesseracts. If I...
Oct12-08 10:33 AM
0 1,541
Hi forum, I was having some difficulty in understanding how time as a fourth dimension allows a cube of three spatial...
Jun25-10 03:10 PM
13 3,611
somebody know some link or ebook about tensor with examples solved and execises
Nov16-07 06:12 PM
1 1,682
Hello, can anyone explain simply what is a tensor, using the language of Geometric Algebra? Thanks!
Jun10-09 06:03 AM
SW VandeCarr
7 2,474
Can anyone recommend good introductory texts for self-study? I want to teach myself about tensors and about topology....
Nov12-05 06:07 PM
2 1,542
Greetings Gurus, I'm sure this has been asked before, so feel free to redirect me. What is the connection...
Jan8-06 10:56 AM
7 4,249
Do any of you have the book Tensors & Manifolds, by Robert H. Wasserman? I was looking for another good book on...
Jun20-07 10:57 PM
0 1,883
I've heard alot about "lie groups" on this section of the forum, and was wondering what they are and if someone could...
Feb6-05 12:54 AM
9 2,972
I'm currently researching a 3d tensor, where certain combinations of terms can cause the principal values...
Dec7-06 05:29 AM
2 1,804
I am having trouble understanding how to tell if a matrix is a tensor, a pseudo tensor or neither or the above. Given...
Feb21-11 03:26 PM
2 1,928
Definitions like this one are common in books: For all ##k,l\in\mathbb N##, a multilinear map...
Jun13-13 08:13 PM
11 2,576
Hello, I would very much like someone to please clarify the following points concerning tensor summation to me....
Jul15-13 09:31 AM
11 2,550
I have been trying to learn and visualize a bit of tensor algebra recently, and have been confused by the...
Jan9-11 11:19 PM
0 1,748
1. When can I contract a tensor? Is that an option to contract for example a (1, 1) tensor to a real number or has...
Jan24-06 12:14 PM
16 3,578
I've been wracking my brains trying to answer this but it's just really hard. If some one could help me out I would...
Nov27-08 02:10 PM
1 1,455
Hi all, What is a good introductory book on tensor products and tensor algebras? For motivation, I have found Tom...
Mar20-07 07:06 AM
George Jones
1 12,382
I've searched everywhere about tensor products but I just can't understand them. Can anyone please explain this...
Apr24-11 01:23 AM
10 2,407
Hello, I have an exercise where we have to pullback a metric g^{ij} \, \mathrm dx_i \, \mathrm dx_j under a...
Feb25-08 02:53 PM
3 3,044
It's possible to do the tensor product of two contravariant vectors? It's possible to do the tensor product of two...
Aug10-04 01:43 PM
5 3,132
Could someone tell me what the tensor product is and give an example?
Feb18-07 08:28 PM
1 2,197
what is the tensor product's physical significance? I know what it does mathematically, but what does it mean. I have...
Dec4-07 07:03 AM
17 5,801
Hi, I have a quick question about a derivation that has annoyed me all day. I am trying to prove, from the definition...
Dec11-07 09:48 AM
3 1,775
Excercise Exercise 1.6 of Roger Blandford and Kip Thorne's online textbook Applications of Classical Physics: "In...
Nov7-09 12:18 AM
2 1,062
Hello everyone! I finished school 2 months ago and at the moment I'm looking forward to my study in physics :) ...
Jul26-08 03:48 PM
3 9,935
In John Lee's books "Introduction to smooth manifolds" and "Riemannian manifolds", a tensor of type \begin{pmatrix}k\\...
Feb18-10 11:24 PM
1 1,347
I can't seem to wrap my mind around it. I understand the concept of it, but I can't figure out how to translate that...
Jun15-09 03:46 PM
3 2,717

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