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

Feb2313 09:25 AM
micromass

1 
31,063 
Hi there:
i have a question on geodesics in a Eculidean space equipped with a metric tensor \lambda(x)*I, where I...

Nov1607 10:42 PM
WWGD

6 
2,559 
Hi, everyone:
I am asked to show that a group G acts by isometries on a space X.
I am not clear about...

Nov1707 04:31 AM
WWGD

2 
2,117 
I have never studied topology (other than pointset topology). I am now taking a course on manifolds using Spivak...

Nov1907 03:55 PM
mathwonk

10 
4,451 
Supposing we have as 2 vector fields:
F = x^2i + 2zj +3k
and
G = r^2e_r + 2\cos\Theta e_{\Theta} +...

Nov2007 11:24 AM
shoehorn

3 
2,138 
in general, what exactly does it mean for a tensor to be nondegenerate?
does it mean that the vector space...

Nov2107 12:03 PM
Chris Hillman

7 
2,622 
Hi: I am going over Lee's Riemm. mflds, and there is an exercise that asks:
Let M<M' (< is subset) be an embedded...

Nov2307 11:20 PM
WWGD

6 
3,218 
A twodimensional Rienmannian manifold has a metric given by
ds^2=e^f dr^2 + r^2 dTHETA^2
where f=f(r) is a function...

Nov2707 04:30 PM
Chris Hillman

7 
3,463 
So this book I have (Mathematical Methods for Physics and Engineering, Riley, Hobson, Bence) defines curvature as...

Nov3007 09:16 AM
ObsessiveMathsFreak

2 
3,278 
Let q and q' be sufficiently close points on C^oo manifold M.
Then is it true that any C^oo curve c:>M where...

Nov3007 03:59 PM
Chris Hillman

6 
3,630 
Which grad level subjects is more related to and plays a more important role in symplectic geometry? And will also...

Nov3007 10:12 PM
pivoxa15

0 
2,058 
What kind of tangent distributions are not integrable? Is there concrete examples with two dimensional nonintegrable...

Dec107 01:33 AM
jostpuur

5 
2,926 
what is the tensor product's physical significance? I know what it does mathematically, but what does it mean. I have...

Dec407 07:03 AM
mathwonk

17 
5,785 
Sorry about the horrible confusion in this post, I am befuddled and likely spouting gibberish.
Consider the general...

Dec507 02:17 PM
George Jones

2 
3,800 
Hi, everyone:
I was just going over some work on Hyperbolic geometry, and noticed that
the geodesics in...

Dec907 04:23 PM
Chris Hillman

8 
5,797 
Hi, I have a quick question about a derivation that has annoyed me all day. I am trying to prove, from the definition...

Dec1107 09:48 AM
cathalcummins

3 
1,774 
show that ,the set { (x,x);x is real number } IS NOT the image of any immersion of R into R^2 .

Dec1707 01:26 AM
bigli

0 
1,658 
Hi, everyone:
I am trying to show this:
Given C(t) a unitspeed curve, using the usual FrenetSerre frames...

Dec1707 07:49 PM
WWGD

0 
2,390 
Hi all,
I'm teaching myself the algebraic side of tensors and I was wondering if you would be able to clarify a few...

Dec1807 01:24 AM
koja

10 
11,592 
I'm reviewing for my final and there is a question I cant seem to solve. If anyone could help me with it I would...

Dec2207 12:34 AM
yenchin

1 
1,455 
Hi, I have a question about deriving tensor identities using geodesic coordinates ( coordinates in which one can put...

Dec2207 04:41 PM
samalkhaiat

11 
10,146 
Okay, So I have am elementary question to ask but it is of fundamental importance to me. First things first, I have...

Dec2507 06:35 AM
OrderOfThings

5 
5,152 
Hi, everyone:
In an effort to show that at any point p in a Riemannian mfld. M
there is an orthonormal...

Jan108 12:47 PM
OrderOfThings

7 
2,591 
Hello:
I have a doubt because I don't find the general definition of the nabla operator in order to solve my...

Jan508 03:42 AM
esorolla

2 
2,161 
Thanks for the help on the other questions.
I am having trouble with another derivation. Unlike the others, it's...

Jan508 03:43 AM
bigubau

1 
4,627 
I'm reading through Pauli's "Theory of Relativity", which has a discussion of tensors in the mathematical tools...

Jan708 01:39 PM
OrderOfThings

4 
2,021 
What Lie groups are also Riemann manifolds?
thanks

Jan808 02:07 PM
OrderOfThings

12 
3,649 
Why are Lie groups also manifolds?

Jan908 04:20 PM
Shaun Culver

3 
2,147 
Are there propagating charged waves admitted in Maxwell’s equations?
(I know many of you guys posting in Tensor...

Jan1008 09:44 PM
Phrak

0 
1,474 
Hi,
Could someone tell me why the center of the structural group in a principal fiber bundle is always included in...

Jan1108 10:20 AM
astros

0 
4,256 
Given a tensor field T(x,y,z), how would I go about differentiating it wrt spacial coordinates?
I would presume...

Jan1208 05:52 PM
erkokite

0 
1,773 
Hi everyone,
Does anyone have any recommendations on good textbooks (or websites) that help translate the...

Jan1308 11:37 AM
erkokite

4 
2,376 
Please forgive any stupid mistakes I've made.
On p.85, 45:
If c: \rightarrow (R^n)^n is continous and each...

Jan1408 06:22 PM
Mystic998

4 
2,943 
1.suppose that f:X>Y is continuous. if x is a limit point of the subset A of X, is it necessarily true that f(x) is a...

Jan1708 12:32 PM
MathematicalPhysicist

4 
2,328 
I was just wondering if anyone had a decent web site explaining some of the basic terminology of differential...

Jan1808 09:36 PM
mathwonk

7 
2,224 
Hello. I'm learning tensor analysis. I have a problem. We know that
...

Jan2408 11:39 AM
hanskuo

6 
3,205 
This is a very basic question, but one I keep getting confused on nonetheless. Can someone explain to me the...

Jan2408 03:40 PM
ziggy

5 
8,561 
Can anyone recommend a reference for sphere eversionsthe actual math, not one of the videos online. An online...

Jan2508 12:03 PM
sparkster

0 
1,615 
I need to prove the following:
let p be a metric on X, and f:[0,infinity)>[0,infinity) s.t:
1.f(0)=0.
2.f is...

Jan2708 12:09 PM
MathematicalPhysicist

4 
2,183 
Hi, everyone:
I am trying to understand the intersection form, and I am having trouble
with the notation...

Jan2708 03:01 PM
mathwonk

5 
2,435 
Suppose we define the Lie derivative on a tensor T at a point p in a manifold by
\mathcal{L}_V (T) = \lim_{\epsilon...

Jan2708 11:27 PM
gsusan

5 
3,712 