
Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:25 AM
micromass

1 
31,356 
Suppose that I have an expression of the following form:
g_{ik}(x)\pi^{kp}(x') \left( \frac{\partial}{\partial...

Jun207 10:28 AM
shoehorn

0 
1,113 
Must a physical law be able to expressed by tensor equations (forms)? If there is a quantity like finite rotation,...

Jun607 11:13 AM
momentum_waves

24 
4,491 
How to prove
g^{im}
\nabla_{\partial_j}R_{ilkm}=\nabla_{\partial_j}R_{lk}.
of cause g^{im}R_{ilkm}=R_{lk}, but I...

Jun807 09:43 AM
neorayner

5 
4,816 
Prove the theorem (Appolonius) for the triangle ABC where A, B, C are the respective points (a,0), (a,0), (b,C) on...

Jun1807 05:41 PM
thagamizer

2 
1,879 
I was wondering about this, I've never seen any general theorem. Obviously it takes more than one, but I would think...

Jun1907 07:24 PM
LorenzoMath

12 
1,963 
In 3 dimension Ricci curvature determines the Riemann curvature tensor as shown in the attachment.But i couldn't prove...

Jun2007 03:05 AM
Scientia

0 
3,909 
Hello,
I'm doing some early work in my PhD and I'm coding a micromechanical scheme in which I have many 4th order...

Jun2007 10:19 AM
explain

6 
6,711 
Do any of you have the book Tensors & Manifolds, by Robert H. Wasserman? I was looking for another good book on...

Jun2007 10:57 PM
pmb_phy

0 
1,897 
I'm trying to teach myself differential geometry from the internet, and I've hit a snag in proving homeomorphisms.
...

Jun2407 02:17 AM
cipher_42

11 
3,883 
Friends i need the answers of the exercises in this book . I am working on the exercises but i cant be sure if my...

Jun2707 03:23 PM
fresnelspot

0 
5,498 
plz if possible send me the evaluation steps of independent components of a symmetric and antisymmetric tensor of rank...

Jun2807 02:44 PM
robphy

1 
1,310 
Let G be a 3dimensional simplyconnected Lie group. Then, G is either
1.)The unit quaternions(diffeomorphic as a...

Jun3007 04:08 AM
Reverie

3 
1,288 
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...

Jul107 12:51 PM
Niv

3 
1,773 
I am trying to prove the following result (I am using the notation of Felsager, Geometry, Particles and Fields)
...

Jul207 05:36 PM
nrqed

4 
3,611 
I asked this question in an SR thread started by someone else but it really belongs in this forum. I received much...

Jul407 11:17 AM
llarsen

29 
6,037 
I have a question which has perplexed me for a time and thought maybe someone here would have some insight that might...

Jul607 08:29 AM
llarsen

0 
1,685 
I need to following subjects about GRASSMANN MANIFOLDS,what do I?
1)introduction(together with details)
...

Jul907 09:36 AM
mathwonk

5 
2,949 
If x,y of R^n (as a normed vector space) are nonzero, the angle between x and y, denoted <(x,y), is defined as...

Jul1107 09:51 AM
CompuChip

1 
2,278 
As far as I know, the tangent space of a manifold at a point is often defined abstractly as follows. First, we define...

Jul1107 10:43 PM
mathwonk

14 
2,682 
Chris Isham said (Modern Differential Geometry for Physicists) it's fairly easy to show that the pullback bundles of a...

Jul1407 08:19 AM
kakarukeys

6 
3,353 
Could anybody explain why we require that in the red box and what happens after " Particularly "...

Jul2207 02:46 PM
Mr.M

0 
1,404 
Why is time a scalar?
Sb says time is scalar because under two different FRAMES, t and t' are the same (for...

Jul2607 07:30 PM
uiulic

3 
2,151 
Hi folks
I am reworking my web site to (1) so that each page will have same font, style etc of any other page and...

Jul2707 08:24 PM
pmb_phy

15 
3,686 
"Introduction to vector analysis" (Harry F. Davis, 1961) page 284 says:
"Tensor analysis for physicists by...

Jul3107 05:44 PM
robphy

1 
1,532 
what is the sufficient condition for the kernel of an adjoint representation to be the center of the Lie group?
...

Aug107 07:10 AM
LorenzoMath

1 
2,569 
This came up in a newsgroup but there was only one person responding who would only repeat himself regardless of what...

Aug507 07:27 PM
robphy

25 
4,208 
Hey, I asked this question in another post, but I realized I may have posted it in the wrong place:...

Aug607 04:06 PM
ehrenfest

0 
2,090 
what is the physical significance of the lie derivative? What is its purpose in tensor analysis?

Aug607 07:50 PM
captain

2 
1,547 
Is it true that f is a continuous function from A \times B to C
(A, B, C are topological spaces)
if and only if...

Aug1107 10:56 AM
mathwonk

8 
2,256 
Hi, everyone:
I have been reading Boothby's intro to diff. manifolds, and in def. 4.3,
talking about 11...

Aug1207 11:44 AM
WWGD

0 
1,678 
If a tensor acts on V x V* x V, do we say that it is
i. 1 time contravariant, 1 time covariant, then 1 time...

Aug1407 11:36 AM
dextercioby

1 
2,954 
I have come up with an example when I trying to learn what first countability means
It says(from wikipedia)
In a...

Aug1707 05:30 AM
CompuChip

11 
1,851 
Is a function from R^n to R^m for aritrary m a considered a 0form on R^n, or does 0form refers only to functions...

Aug1807 11:19 PM
mathwonk

9 
3,425 
Hi,
Every Thurston Geometry (X,Isom(X)) with the exception of the geometry modeled on S^2xR can be achieved as a 3D...

Aug2607 01:39 PM
Chris Hillman

3 
1,997 
plz help me to solve this identity
((\phi\lambda)\chi)+((\lambda\chi)\phi)+((\chi\phi)\lambda)=0
where () =...

Aug3007 01:14 PM
dextercioby

1 
3,412 
Hi, everyone. I am new here, so I hope I am follow the protocols. Please
let me know otherwise. Also, I apologize...

Aug3107 10:55 AM
Chris Hillman

3 
1,931 
There is one point I don't understand about Gtorsor.
A Lie group G acts freely and transitively on a manifold F....

Aug3107 11:27 AM
kakarukeys

4 
3,408 
I'm reading about gauge theory and the text goes through some stuff about Lie groups and algebras rather quickly. I...

Sep307 11:24 AM
Fredrik

4 
2,492 
*note before reading: pretend that the superscripts are really subscripts, for some reason , Latex is making the...

Sep1007 12:31 AM
Hurkyl

1 
1,888 
Hi, everyone.
I am preparing for a prelim. in Diff. Geometry, and here is a question
I have not been able to...

Sep1107 03:52 PM
quidamschwarz

10 
1,965 