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

Feb2313 09:25 AM
micromass

1 
31,062 
I am trying to understand the magnetic gradient tensor which has nine components. There are three magnetic field...

May614 01:04 PM
Matterwave

3 
1,065 
Given a curve ##\gamma: I \to M## where ##I\subset \mathbb{R}## and ##M## is a manifold, the tangent vector to the...

May614 12:39 PM
Matterwave

1 
579 
Suppose we have a vector field ##V## defined everywhere on a manifold ##M##. Consider now point ##p \in M##. As a...

May514 04:27 PM
center o bass

8 
775 
I apologize if this is the wrong forum but I need access to mathematicians who know what's happening with polygonal...

May414 10:19 PM
Greg Bernhardt

1 
847 
Hi all, I have a few questions on the two spaces S^1/Z_2 and T^2/Z_2. Am I correct in saying that the first space...

May414 10:19 PM
Greg Bernhardt

1 
838 
Hi,
I have a faced a research problem where I would need to recover a frame field given its connection forms. More...

May414 10:19 PM
Greg Bernhardt

1 
832 
Hi
Let's consider the three body problem.
The motion of all bodies is a manifold of dim 18. But I will consider...

May414 10:19 PM
Greg Bernhardt

1 
804 
Now this is a bit of a mix of a math and a physics question, but I think it is best asked here.
Assume we are...

May414 04:13 PM
Matterwave

7 
945 
I have:
dVμ = (∂Vμ/∂xη)dxη where Vμ is a contravariant vector field
I believe the () term on the RHS is a...

May114 07:37 PM
nigelscott

2 
619 
Hello,
I am having a problem about the nature of the measurements of the intervals ds's forming out of...

Apr2914 04:24 PM
haruna

2 
748 
For someone who does not already know Lie group and bundle theory, the formulation of covariant derivatives through...

Apr2814 09:51 PM
homeomorphic

1 
744 
Hello, i don't know if my question is well posed,
if i have a symmetric tensor Sij = (∂ixj + ∂jxi) / 2
with xi...

Apr2114 07:23 PM
Chestermiller

1 
852 
Hello,
I've been struggling with the so often spoken idea that a metric tensor gives you all necessary information...

Apr1614 08:55 AM
atyy

7 
1,022 
My knowledge on this topic is a bit sketchy. I realize that there is a whole branch of math out there devoted to...

Apr1414 07:46 PM
Geometry_dude

2 
948 
When I take the differential of y wrt t (being t a parameter (time)) I get the velocity of the ycoordinate, if take...

Apr1414 08:02 AM
chogg

5 
808 
If a vector field can be decomposed how a sum of a conservative + solenoidal + harmonic field......

Apr1414 07:29 AM
Geometry_dude

2 
754 
What means:
http://s16.postimg.org/frd0uez9h/imagem.png
?
This guy, ##\vec{\nabla}_{\hat{\phi}} \hat{r}##,...

Apr1314 04:38 AM
Jhenrique

11 
923 
1st which is the math definition for circulation (##\Gamma = \int_s \vec{f}\cdot d\vec{s}##)? And 2nd, what means...

Apr1114 08:51 AM
chogg

6 
1,012 
After read this stretch https://en.wikipedia.org/wiki/Closed_and_exact_forms#Vector_field_analogies, my doubts...

Apr1014 03:59 PM
Matterwave

5 
1,021 
Given a vector field f, I can compute the rotational tendency in the direction n (∇×f·n), the translational tendency...

Apr1014 03:42 PM
chogg

1 
650 
If the direction of the gradient of f in a point P is the direction of most/minor gradient, so a direction of the curl...

Apr1014 09:58 AM
chogg

1 
747 
I'm just learning this theory and the maths is really trivial but the theory is slightly confusing me.
I...

Apr914 08:08 PM
HallsofIvy

1 
689 
Hello,
I'm reading the book Geometrical methods of mathematial physics by Brian Schutz. In chapter 3, on Lie...

Apr914 10:55 AM
George Jones

7 
884 
Hi,
I would like to understand the leftinvariant vector field of the additive group of real number. The left...

Apr814 03:42 AM
AlbertEi

2 
684 
If the gradient of f is equal to differential of f wrt s: \vec{\nabla}f=\frac{df}{d\vec{s}} so, what is the curl of f...

Apr514 04:33 PM
Mark44

7 
852 
Every conservative vector field is irrotational? Every irrotational vector field is conservative?
Every solenoidal...

Apr414 01:55 PM
Matterwave

4 
754 
According to Isham (Differential Geometry for Physics) at page 115 he claims:
"If X is a complete vector field then...

Apr414 02:50 AM
center o bass

2 
690 
What do you think, might be generalized the helix in the manner that I propose in the attached material?

Apr314 03:45 AM
micromass

5 
697 
As I understand it, Felix Klein sought to classify geometries with respect to what groups G that respected the...

Mar3114 12:02 AM
homeomorphic

1 
803 
Let's say that ##\vec{f}## is an exact oneform, so we have that ##\vec{f}=\vec{\nabla}f##, and ##\vec{F}## is an...

Mar3014 10:41 AM
chogg

3 
769 
Vector, by definition, have 2 or 3 scalar components (generally), but the curl of a vector field f(x,y) in 2D have...

Mar2914 01:35 PM
chogg

5 
940 
I am reading up on principal bundles and currently I'm trying to get to grips with the definition of a connection on...

Mar2814 01:55 PM
homeomorphic

8 
1,014 
The ##\vec{\nabla} \cdot \vec{\nabla} = \nabla^2## so, ##\vec{\nabla} \times \vec{\nabla} = \vec{0}## ? I think that...

Mar2814 04:01 AM
arildno

6 
1,090 
A Lie Subgroup is defined as follows:
A Lie subgroup of a Lie group G is (i) an abstract subgroup H that is (ii) an...

Mar2714 05:17 AM
micromass

3 
771 
If given an oneform like: ##\omega = u dx + v dy##, dω is ##d\omega = \left ( \frac{\partial v}{\partial x} ...

Mar2414 04:09 PM
Ben Niehoff

1 
820 
I found what might be the worst written book on Lie Groups. Ever. Until I find one I like better, I'm going to see if...

Mar2314 11:17 AM
Mandelbroth

1 
812 
In some books, when discussing the relation between partial/directional derivatives and tangent vectors, one makes a...

Mar2214 02:25 PM
Mandelbroth

4 
921 
I've been trying to prove that the closed unit ball is a manifold with boudnary, using the stereographic projection...

Mar2214 12:25 PM
kostas230

2 
696 
Hello,
I am looking into finding geodesic distances for an ellipsoid. I will designate two points then find the...

Mar1614 01:00 PM
jsbxd9

0 
925 
Suppose we measure and plot the polarization of the Cosmic Background Radiation on a spherical plot. Could the data at...

Mar1414 08:53 PM
Spinnor

0 
699 