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

Feb2313 09:25 AM
micromass

1 
30,166 
Can someone please explain this to me.
Let X = fundamental group of a genus 2 surface
Let Y = fundamental group of...

Nov1409 06:49 PM
morphism

1 
1,664 
Hey,
Could anyone help some up briefly what it means if the fundemental group of a space X is trivial.
As i...

Nov1409 09:34 AM
rasmhop

1 
1,237 
What would be the euler angles of rotation 2pi/3 about the line x=y=z? If something were in the xy plane and it...

Jan110 04:49 PM
mnb96

1 
2,667 
Afternoon,
I'm studying Engineering Dynamics (4th Year Undergraduate) and I was wondering if anyone can point me to...

Oct1609 10:44 AM
tinytim

1 
1,085 
Hey guys, anyone know what the LaTeX code for the "cut" is? I've tried /lrcorner but that doesn't seem to be the right...

Oct1909 06:09 PM
tinytim

1 
1,367 
I am looking for some worked examples of calculating moment maps. I have to calculate some moment maps but have no...

Nov109 01:24 AM
mma

1 
1,546 
One of the exercises in the text I'm using for selfstudy asks to prove that the union of a pair of atlases A and B on...

Oct3009 06:58 PM
jojo12345

1 
940 
Dear all,
Studying for prelims, I would like to know the following. I attached the question as well(sorry).
Why do...

Nov1409 06:56 PM
morphism

1 
1,280 
Here is a similar one that again tells me that my undestanding of the notions is still not there. I would like to know...

Nov1109 07:35 PM
Hurkyl

1 
1,250 
The Apollonian Packing is generated by starting out with 3 mutually tangent circle and then using descartes theorem to...

Dec2609 03:14 PM
Gevalt

1 
2,431 
how do I show a topological space X with an order topology is regular. Ive shown it is hausdorff already.

Nov2309 05:44 PM
grief

1 
1,335 
So I'm trying to understand the statement: On a complex manifold with a hermitian metric the LeviCivita connection on...

Dec509 03:54 PM
cogito²

1 
2,248 
Let \theta be the angle between the diagonal of the unit cube in R^{n} and one of its axes.
Find
lim \theta (n)...

Dec1409 05:55 AM
Rasalhague

1 
1,263 
In calculus, the definition of the arc length of some curve C is the limit of the sum of the lengths of finitely many...

Dec2209 07:23 AM
wofsy

1 
1,804 
Let F = \left\{f :
Is F complete , under the given norm ?
My approach was to look at the pointwise limit of an...

Dec2409 11:42 PM
vineethbs

1 
2,735 
Why all two dimensional manifolds are conformally flat?
Why all manifolds with constant sectional curvature are...

Jan610 05:17 AM
wofsy

1 
1,726 
What can we tell about Lie group if we know its Lie algebra.
Let's consider the following example: we have three...

Jan1010 06:41 AM
Omega137

1 
1,230 
Hi,
I was given the following problem, and i couldn't solve it yet:
Give a bijection between the elements of...

Jan1210 09:23 AM
wofsy

1 
1,360 
Hello everyone,
While studying properties of Riemann and tensor and Killing vectors, I found this notation/concept...

Jan1410 05:47 PM
Ben Niehoff

1 
1,323 
Is there any difference to the meaning of these terms? I'm keep running across both of them.

Jan1610 02:39 AM
HallsofIvy

1 
1,139 
I'm kind of shaky on a lot of high school Geometry that is going more or less unused in my Physics and Calculus...

Jan2410 03:19 PM
Spinnor

1 
4,294 
What is a question in topology asking of me when it says show that the topology of S1 and a quotient space agree?

Jan2010 09:14 AM
rasmhop

1 
1,014 
I'm self studying topology and so I don't have much direction, however I found this wonderful little pdf called...

Jan2010 09:27 PM
Fredrik

1 
3,321 
I am aware that a vector is a firstorder tensor, and that a secondorder tensor has nine components in threespace,...

Jan2310 04:42 PM
Vectronix

1 
1,213 
Hello,
I have encountered an exercise in my differential geometry book: to derive the parametrisation and the...

Jan2410 03:56 PM
JSuarez

1 
2,199 
I have a sphere with the equation
(x3)2+(y2)2+(z+5)2=36
two question:
1. how do I find the equation of the...

Jan2510 07:50 AM
rasmhop

1 
5,245 
I'm studying for an exam which is a couple months away and I found an old exam which asks the following:
Find the...

Jan3010 02:13 AM
soarer

1 
1,179 
heeello friends!;]
i have book "wstęp do współczesnej geometrii różniczkowej" written by Konstanty Radziszewski, this...

Feb210 08:28 PM
Rasalhague

1 
1,500 
Hello,
I posted a similar question long time ago, but after working on it I am still unable to arrive at a solution....

Feb410 11:53 AM
torquil

1 
1,584 
Hello:) let make a metric tensor, let it make simple, for random 2dimentional curved space, ex....

Feb410 06:39 AM
player1_1_1

1 
1,311 
I'm trying out some exercises in differential geoemtry and came accross this one:
If \gamma(t) is unitspeed, and...

Feb610 09:48 PM
zhentil

1 
1,149 
If you specify all 6 distances between 4 points A, B, C, D you fix a tetraeder. If you now give three distances AM,...

Feb710 05:45 PM
Gerenuk

1 
979 
The Gauss curvature of a surface in R^3 is intrinsic i.e. it is an invariant of local isometry.
For a hypersurface...

Feb810 09:25 PM
Ben Niehoff

1 
1,489 
In John Lee's books "Introduction to smooth manifolds" and "Riemannian manifolds", a tensor of type \begin{pmatrix}k\\...

Feb1810 11:24 PM
enricfemi

1 
1,335 
Hi Guy's
I was wondering If anyone new of a good link about the Padic metric Strong triangle inequality. I am trying...

Feb1710 04:56 AM
g_edgar

1 
3,458 
I'm working thru Thirring's Classical Mathematical Physics. The lie derivative is defined and used on a vector field....

Feb1310 01:57 AM
Ben Niehoff

1 
1,044 
Under what conditions can the metric tensor be integrated to a global metric function? i.e., a function g(x,y) that...

Feb1310 11:31 PM
wofsy

1 
1,116 
Suppose you're given a 4 tuple and told that its scalar product with any 4vector is a lorentz scalar. How do I show...

Feb1810 12:36 PM
Fredrik

1 
1,111 
when I first learned about homeomorphic sets, I was given the example of a doughnut and a coffee cup as being...

Feb1710 09:53 PM
Ben Niehoff

1 
2,546 
For my tensor analysis class we have to do some project/research on tensor applications. I've done a search and I...

Feb1810 10:56 PM
enricfemi

1 
1,521 