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

Feb2313 09:25 AM
micromass

1 
26,439 
Hello,
I've been struggling with the so often spoken idea that a metric tensor gives you all necessary information...

Y 08:14 PM
Matterwave

6 
132 
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 
255 
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 
146 
If a vector field can be decomposed how a sum of a conservative + solenoidal + harmonic field......

Apr1414 07:29 AM
Geometry_dude

2 
127 
What means:
http://s16.postimg.org/frd0uez9h/imagem.png
?
This guy, ##\vec{\nabla}_{\hat{\phi}} \hat{r}##,...

Apr1314 04:38 AM
Jhenrique

11 
246 
Hi
Let's consider the three body problem.
The motion of all bodies is a manifold of dim 18. But I will consider...

Apr1214 02:35 AM
baxter

0 
125 
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 
221 
After read this stretch https://en.wikipedia.org/wiki/Closed_and_exact_forms#Vector_field_analogies, my doubts...

Apr1014 03:59 PM
Matterwave

5 
391 
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 
114 
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 
193 
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 
191 
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 
355 
I am making a Geometric model for VESPR theory, which states that valence electron pairs are mutually repulsive, and...

Apr814 02:54 PM
Neolux

0 
226 
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 
225 
Hi,
I have a faced a research problem where I would need to recover a frame field given its connection forms. More...

Apr614 09:16 AM
underflow

0 
217 
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 
367 
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...

Apr514 04:31 PM
"pi"mp

0 
191 
Every conservative vector field is irrotational? Every irrotational vector field is conservative?
Every solenoidal...

Apr414 01:55 PM
Matterwave

4 
294 
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 
236 
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 
258 
I apologize if this is the wrong forum but I need access to mathematicians who know what's happening with polygonal...

Apr314 03:35 AM
downplay

0 
199 
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 
329 
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 
325 
If a vector field ##\vec{v}## is nondivergent, so the identity is satisfied: ##\vec{\nabla}\cdot\vec{v}=0##;
if is...

Mar3014 09:15 AM
Jhenrique

0 
264 
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 
416 
I am trying to understand the magnetic gradient tensor which has nine components. There are three magnetic field...

Mar2914 03:08 AM
welshrich

0 
264 
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 
446 
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 
442 
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 
354 
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 
394 
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 
430 
In some books, when discussing the relation between partial/directional derivatives and tangent vectors, one makes a...

Mar2214 02:25 PM
Mandelbroth

4 
563 
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 
394 
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 
578 
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 
478 
I have a curved surface which I know the (x,y and z) coordinates for 5 separate points on it and I was wondering how...

Mar1414 06:57 PM
Chestermiller

5 
560 
We call originary curve the curve for that at baseline the Frenet trihedron TNB coincides with the cartesian trihedron...

Mar1114 04:32 AM
micromass

5 
606 
There are two theorems from multivariable calculus that is very important for manifold theory.
The first is the...

Mar914 11:52 AM
micromass

1 
500 
Any Kähler form (?) can be written in local coordinates as \omega = \frac{i}{2} \sum h_{ij} dz^i \wedge d z^j with...

Mar814 08:19 AM
nonequilibrium

14 
629 
''..Cauchy stress tensor in every material point in the body satisfy the equilibrium equations.''
...

Mar714 01:51 PM
nejibanana

1 
522 