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Differential Geometry

- Manifolds. Tensors and forms. Connections and curvature. Differential and algebraic topology
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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
1 26,560
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 1,959
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 12,479
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 1,761
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 1,495
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 3,400
somebody know some link or ebook about tensor with examples solved and execises
Nov16-07 06:12 PM
1 1,658
Hello, can anyone explain simply what is a tensor, using the language of Geometric Algebra? Thanks!
Jun10-09 06:03 AM
SW VandeCarr
7 2,020
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 1,486
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 3,702
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 2,868
I'm currently researching a 3d tensor, where certain combinations of terms can cause the principal values...
Dec7-06 05:29 AM
2 1,723
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 1,839
Definitions like this one are common in books: For all ##k,l\in\mathbb N##, a multilinear map...
Jun13-13 08:13 PM
11 1,783
Hello, I would very much like someone to please clarify the following points concerning tensor summation to me....
Jul15-13 09:31 AM
11 1,813
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 1,677
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 3,404
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 1,423
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 12,160
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 2,251
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 2,707
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 3,041
Could someone tell me what the tensor product is and give an example?
Feb18-07 08:28 PM
1 2,114
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 5,391
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 1,599
Excercise Exercise 1.6 of Roger Blandford and Kip Thorne's online textbook Applications of Classical Physics: "In...
Nov7-09 12:18 AM
2 1,026
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 9,813
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 1,285
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 2,577
In Introduction to Vector Analysis, 1.16 Tensor notation, Davis and Snider introduce index notation and the Einstein...
Jul22-09 01:45 AM
18 2,986
Re: Foundations of Tensor Analysis for Students of Physics and Engineering with an Introduction to the Theory...
Oct7-07 12:40 PM
11 2,873
1) Could someone please explain how to multiply the tensor F ''' and the vector, s, from equation 4 on the attachment;...
Jul30-11 09:21 AM
0 1,105
I have a riemannian 2-manifold (Let's say a sphere) and a tensor of order 1 (momentum), defined on the manifold. I...
Aug10-09 12:14 PM
3 4,012
Wondering if this is valid to do, if I start with the expression \delta\omega^{u}_{ \singlespacing v} x^v...
Oct30-08 05:03 PM
2 1,404
I am just wondering, is there a difference in meaning/definition between the indices of a tensor being right on top of...
Jun8-13 05:12 AM
3 1,651
Hey, first I want to say my English & Math aren't the best yet, so ill be glad to explain myself again if I'll need to...
Jul1-07 12:51 PM
3 1,713
I'm having some trouble to prove the following tensor identity shown below in Einstein's summation convention: ...
Jul31-04 11:10 PM
3 4,672
Hello! I'm currently reading John Lee's books on different kinds of manifolds and three questions has appeared. In...
Jun14-12 12:59 AM
4 1,782
I have a following problem. Let D be an operator taking the C^oo functions F to F, and the C^oo vector fields V to...
Oct2-07 07:49 PM
0 1,555
How do we express the Minkowski field tensor for circular currents?
May22-07 06:45 PM
4 1,786
could someone please explain tensors to me or at least tell of web site that explaines them
Dec7-05 01:08 PM
3 1,251

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