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

Feb2313 09:25 AM
micromass

1 
30,947 
This is from O'Neil's differential geometry. I'm having trouble parsing through the problem/hint.
Given any curve...

Oct2910 01:08 AM
chaotixmonjuish

2 
1,401 
let M be a manifold and g a metric over M .
is it true that every subbundle from M must have the same metric g ?

Oct2810 03:44 AM
arkajad

5 
1,119 
I will preface this by saying that if anyone has the following book: Euclidean Geometry and Transformations written by...

Oct2710 02:17 AM
tinytim

5 
1,289 
I want a projection of Earth where distances are undistorted. i.e. 10 degrees of latitude at the equator is exactly...

Oct2610 11:06 AM
DaveC426913

2 
1,214 
Hello all,
Here is my question while reading a proof.
For a compact set K in a separable metrizable spce ...

Oct2510 05:02 PM
Office_Shredder

5 
1,288 
I'm trying to create a program which will do these calculations. I am given Latitudes, Longitudes, and ellipsoidal...

Oct2410 12:22 PM
G4CKT

1 
1,813 
Tensor densities are normally defined in terms of coordinate transformations. Could they also be defined as functions...

Oct2410 09:20 AM
arkajad

14 
2,667 
Do you agree that the following identity is true:
\int_S (\nabla_\mu X^\mu) \Omega = \int_{\partial S} X \invneg ...

Oct2410 07:06 AM
arkajad

8 
2,274 
I get in essence what the covariant derivative is, and what it does, but im having trouble with the definition, of all...

Oct2410 02:21 AM
Phrak

8 
1,255 
Few days back I posted a question here that dealt with inversion geometry. A point P inside a sphere can be inverted...

Oct2410 01:23 AM
jasomill

1 
1,654 
Theorem: If a straight line intersects one of the sides of the asymptotic triangle ABOmega but does not pass through a...

Oct2310 09:05 AM
ILoveJesseJam

0 
2,355 
Hello,
not sure if this the right place or not to post this, but I am after a definitive answer to the definition of...

Oct2210 10:29 PM
Moss Pauly

0 
686 
I'd like some help understanding three things.
 What is the topology of the Grassmann manifold or oriented...

Oct2210 02:41 PM
lavinia

13 
2,076 
Hi everyone,
I've tried googling how to calculate a straight line distance on a sphere. I got no answers for it...

Oct2210 01:37 PM
G4CKT

6 
1,612 
Hi everyone.
I have been around a problem that I cannot figure out a solution (if there is one) which is related...

Oct2210 12:16 PM
_Seven_

2 
2,285 
Is it true that for all antisymmetric tensors F^{\mu\nu}
the following identity is true:
\nabla_\mu \nabla_\nu...

Oct2210 07:36 AM
arkajad

4 
2,086 
Hi friends;
can someone tell me how to prouve that the cartan tensor is defiend in SM ( the projective sphére bundle...

Oct2210 03:25 AM
math6

2 
961 
I am writing a program that uses Snell's Law for refraction of light through two interfaces and I've encountered a...

Oct2110 10:19 PM
Ralajer

0 
759 
Can a connected space have a countable disjoint cover of closed subsets with at least two elements?

Oct2110 04:43 PM
Jamma

15 
2,284 
Attached are 3 of the images I created from a simple basic Moebius Band in the ChaosPro 3.3
In each one; I severed...

Oct2010 11:08 PM
antarctica246

0 
2,121 
Here's something that's bothering me a bit.
Let f : X > Y be a continuous function, where X and Y are topological...

Oct2010 04:43 PM
radou

22 
2,212 
Show the intersection of complex sphere (z1^2+z2^2+z3^2=1) in C^3 and the complex cone (z1^2+z2^2+z3^3=1) in C^3...

Oct2010 02:02 PM
zhentil

1 
1,788 
"if a vector field has only nondegenerate zeros then the number of zeros is bounded"
With no idea how to show that...

Oct2010 01:42 PM
zhentil

2 
1,773 
Hello everyone...I was wondering if it is possible to conceive a 2nd center of a finite sphere in infinity...(I am not...

Oct2010 07:45 AM
arkajad

6 
1,295 
Which of this is triconic & which is biconic nosecone
...

Oct1910 08:04 PM
sorter

1 
1,912 
This is not a homework question, although it may appear so from the title.
So, in Munkres, Theorem 26.7. says that...

Oct1910 03:32 PM
radou

2 
4,270 
http://arxiv.org/abs/1010.2979
Octonions
Jonathan Hackett, Louis Kauffman
11 pages, 11 figures
(Submitted on 14...

Oct1910 12:48 PM
arivero

16 
3,370 
Hi
I'm trying to solve this exercise
"Prove that if C is a circular cylinder with S_1 and S_2 as its boundary...

Oct1810 04:31 PM
Jamma

3 
1,076 
Now F:S^2>R^4 is a map of the following form:
F(x,y)=(x^2y^2,xy,xz,yz)
now using the smooth covering map...

Oct1810 05:58 AM
quasar987

1 
2,625 
Any hint PLZ
http://img151.imageshack.us/img151/1715/1111111111k.jpg
Thank You

Oct1810 04:32 AM
arkajad

3 
775 
How can you find more than one right inverse.
Thanks for ur time

Oct1710 07:25 PM
fireboy420

1 
627 
Hi,
I know that you can determine that the Gaussian curvature of a cone tends to infinity at the vertex, but seeing...

Oct1710 02:05 PM
arkajad

7 
3,506 
The Euler class of the tangent bundle of a compact smooth manifold integrates to the Euler characteristic of the...

Oct1710 06:11 AM
lavinia

0 
1,043 
I just went through and exercise which asks if a product of two path connected spaces is path connected.
There...

Oct1710 06:06 AM
lavinia

6 
2,785 
Hello people. In my textbooks the question is asked as following
1. Find the S.D(short distance)between the...

Oct1610 10:25 AM
Hyperspace2

4 
1,248 
I'm a rogue babble master, hear me out.
I have been puzzled by this little idea concerning functions and the...

Oct1610 04:08 AM
tinytim

1 
670 
Most definitions I've seen for a manifold are based on the idea that small neighborhoods are homeomorphic to...

Oct1510 12:34 PM
bcrowell

25 
2,536 
�
R is real line, C is set of Complex numbers
If we considered the Euclidean metric on RXR
a. Show whether the...

Oct1210 09:53 AM
g_edgar

1 
2,148 
(E, B, V) a vector bundle.EndE is the set of endomorphisms of E, then if g belongs EndE therefore g is a linear V> V...

Oct1210 06:21 AM
quasar987

1 
752 
The information I have on disposal are the coordinates of A, B, the current distance AB=dt and the wished
distance...

Oct1210 03:35 AM
onako

1 
838 