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

Feb2313 09:25 AM
micromass

1 
31,115 
I've been trying to come up with a oordinate free formula of Christoffel symbols. For the Christoffel symbols of the...

T 05:16 PM
Matterwave

1 
2 
This may seem like an easy question, but my differential geometry is a little rusty. I'm trying to find the tangent...

Y 06:49 PM
andresB

1 
1,930 
Hi,
If we contract a (n1)d hyperplane with a nsimplex, then what is maximum number of intersection points with...

Y 03:35 AM
Debashis

3 
151 
i really try understand these initial concepts before continue my work,
The necessity to use contra/covariants...

Aug2814 01:29 PM
Matterwave

11 
363 
In Frankel's book he writes that in R^{3} with cartesian coordinates, you can always associate to a vector \vec{v} a...

Aug2714 09:14 AM
Greg Bernhardt

1 
265 
Hey JO,
I'm reading a book on geometric algebra and in the beginning (there was light, jk) a simple calculation is...

Aug2614 03:33 PM
JonnyMaddox

5 
272 
Does anybody know nice introductory material for K3 manifold/ surface? Some very basic exposition, maybe hidden in...

Aug2414 12:35 AM
mathwonk

2 
2,169 
Let me say from the beginning I'm not talking about the noncoordinate unit vectors for polar coordinates. I'm talking...

Aug2214 08:40 PM
Fredrik

3 
232 
Alright, so I was reading up on tensors and such with nonCartesian coordinate systems all day but now I'm a bit tired...

Aug2214 07:53 AM
JonnyMaddox

5 
231 
What are tensors?

Aug2114 02:03 PM
Blazejr

6 
467 
Hello. I'm learning about Lie derivatives and one of the exercises in the book I use (Isham) is to prove that given...

Aug2114 05:50 AM
Matterwave

5 
267 
i'm looking for a curve that would have a shape of a snowdrop (the white spring flower) in 3D space. i have tried some...

Aug2014 05:19 AM
ann96

2 
232 
Hi all,
I am trying to describe/understand how to define a 2plane distribution in R^3 , i.e., an assignment of a...

Aug2014 03:51 AM
Pond Dragon

3 
242 
Hello I've been reading some Group theory texts and would like to clarify something.
Let's say we have two Lie groups...

Aug1814 01:27 PM
Matterwave

2 
272 
Dear all,
I was revising on a bit of tensor calculus, when I stumbled upon this:
$$\delta^i_j = \frac{\partial...

Aug1614 01:32 PM
Matterwave

2 
269 
I have a cluster of voxels and a 2nd order stress tensor corresponding to each voxel. I was wondering as to what would...

Aug1514 05:19 PM
AlephZero

1 
238 
does anyone have a proof of this?

Aug1414 07:00 PM
mathwonk

2 
391 
The MaurerCartan oneform ##\Theta = g^{1} dg## is though of as a lie algebra valued form.
It arises in connection...

Aug1214 03:57 PM
Greg Bernhardt

1 
497 
Hi, I have real problems with the indices here, can someone give me a step by step explanation how to compute stuff...

Aug1214 03:07 PM
Geometry_dude

5 
1,031 
Can somebody explain to me what is a manifold.Also what it means for a space to be curved and how we define...

Aug1114 05:05 PM
mathwonk

12 
812 
Hello,
the tensor product definition of a two form is
\alpha^{1} \wedge \beta^{1} := \alpha \otimes \beta  \beta...

Aug814 06:26 PM
JonnyMaddox

10 
447 
In the formulation of connections on principal bundles, one derives an
expression for the covariant exterior...

Aug714 11:41 AM
center o bass

4 
392 
I have an object (A) at some altitude above the Earth ellipsoid, and a point (B) on the surface of the Earth.
...

Aug614 12:11 AM
GreenLRan

6 
946 
Hi all,
I'm trying (and failing miserably) to understand tensors, and I have a quick question: is the inner product...

Aug414 11:17 AM
21joanna12

4 
534 
It is pretty straight forward to prove that the Kronecker delta \delta_{ij} is an isotropic tensor, i.e. rotationally...

Aug114 08:32 PM
lpetrich

6 
566 
Hi, I'm giving a talk tomorrow morning, and I'd like to use the following fact: a pathconnected subgroup of SO(3)...

Jul3114 12:05 PM
micromass

3 
477 
I finally finished my big summer research project. Reviewing how it went, it is clear to me that I lack an...

Jul2414 09:14 PM
Pond Dragon

1 
1,277 
Hey guys, I'm working on a summer research project right now in diff. geo. I'm at the point where I have to define the...

Jul2314 11:35 PM
Greg Bernhardt

1 
2,132 
In Nakahara's book, the interior product is defined like this :
i_{x} \omega = \frac{1}{r!} \sum\limits_{s=1}^r...

Jul2214 07:50 PM
JonnyMaddox

11 
2,614 
I wonder if curvature necessarily means space has been removed. The typical example is forming a "curved" surface by...

Jul2214 02:31 AM
WWGD

9 
1,021 
(From another site)
I think the answer is no, for ##i: S \rightarrow \mathbb R^n ## the inclusion/restriction, and...

Jul1814 05:48 PM
WWGD

3 
1,508 
I'm trying to explicitly show that
\varepsilon^{0 i j k} \varepsilon_{0 i j l} =  2 \delta^k_l
I sort of went...

Jul1814 09:11 AM
Emil

2 
1,439 
Long time reader, first time poster.
Originally, it was my contention that all Lie groups could be written as the...

Jul1714 10:36 PM
Pond Dragon

1 
1,413 
I need to use a computational software to work on tensorial hermite polynomials. The operations I want to perform are...

Jul914 08:46 AM
parulm

3 
3,201 
Hello, I'm trying to get a hang of the defintion presented in Arfken  Mathematical Methods for Physicists for 3...

Jul814 02:46 AM
electricspit

2 
2,000 
I am working on a paper that provides the following formula for computing radius of curvature at a point on a surface....

Jul414 10:39 AM
mathwonk

1 
3,523 
I'm reading about multlinear algebra and I'm stuck at differential form and outer product. The definitions involve...

Jul414 12:33 AM
WWGD

13 
4,301 
Greetings,
I am attempting to compute geodesic distances on manifolds where structural data have been sparsely...

Jul114 10:15 PM
Greg Bernhardt

1 
2,480 
Hi, I have an exercise whose solution seems too simple; please doublecheck my work:
We have a product manifold...

Jul114 10:15 PM
Greg Bernhardt

1 
2,568 
Suppose we have a foliation of leaves (hypersurfaces) with codimension one of some Riemannian manifold ##M## with...

Jun2714 07:56 AM
Geometry_dude

2 
4,087 