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

Feb2313 09:25 AM
micromass

1 
31,152 
Left invariant fields on a group G satisfies a lie algebra; say we have an ndimensional Lie algebra for which the...

May1514 08:35 AM
center o bass

7 
1,335 
If a vector field ##\vec{v}## is nondivergent, so the identity is satisfied: ##\vec{\nabla}\cdot\vec{v}=0##;
if is...

May1414 03:48 PM
Terandol

3 
1,054 
I am not able to solve the following problem
#1) Prove that the normal to parabola y2=4ax at (am2,2am) intersects...

May1414 04:11 AM
Simon Bridge

3 
498 
Vector fields generate flows, i.e. oneparameter groups of diffeomorphisms, which are profusely used in physics from...

May1214 11:15 PM
Matterwave

33 
1,647 
I've been thinking about this quite a bit. So it is clear that one can determine the Christoffel symbols from the...

May714 04:16 PM
Demon117

5 
757 
I am trying to understand the magnetic gradient tensor which has nine components. There are three magnetic field...

May614 01:04 PM
Matterwave

3 
1,071 
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 
583 
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 
780 
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 
851 
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 
843 
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 
833 
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 
805 
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 
971 
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 
623 
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 
752 
For someone who does not already know Lie group and bundle theory, the formulation of covariant derivatives through...

Apr2814 09:51 PM
homeomorphic

1 
747 
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 
857 
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 
1,027 
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 
951 
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 
816 
If a vector field can be decomposed how a sum of a conservative + solenoidal + harmonic field......

Apr1414 07:29 AM
Geometry_dude

2 
760 
What means:
http://s16.postimg.org/frd0uez9h/imagem.png
?
This guy, ##\vec{\nabla}_{\hat{\phi}} \hat{r}##,...

Apr1314 04:38 AM
Jhenrique

11 
931 
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 
1,017 
After read this stretch https://en.wikipedia.org/wiki/Closed_and_exact_forms#Vector_field_analogies, my doubts...

Apr1014 03:59 PM
Matterwave

5 
1,026 
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 
654 
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 
751 
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 
693 
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 
890 
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 
688 
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 
859 
Every conservative vector field is irrotational? Every irrotational vector field is conservative?
Every solenoidal...

Apr414 01:55 PM
Matterwave

4 
758 
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 
695 
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 
704 
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 
810 
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 
775 
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 
951 
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 
1,020 
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 
1,099 
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 
776 
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 
825 