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

Feb2313 09:25 AM
micromass

1 
31,375 
what do we mean by "Finsler geometry is just Riemannian geometry without the quadratic Restriction " . i don't...

Nov510 04:09 PM
math6

2 
1,032 
can we define a metric on a submanifold of as follows:
M is a manifold equipped with a Riemannian metric g, we denote...

Nov510 02:29 PM
math6

2 
1,084 
This should hopefully be a quick and easy answer.
I'm running through Lee's Introduction to Smooth Manifolds to...

Nov510 11:33 AM
Kreizhn

9 
1,491 
I dont know if this is the right place to post this question so i'll also be posting it in the GR section, but anyway....

Nov510 10:22 AM
vitaniarain

0 
1,320 
Hello
I am curious about this. Uryshon' s lemma is also known as "the first nontrivial fact of point set topology",...

Nov410 04:36 AM
facenian

5 
1,409 
if we have a vector space V,can we define the tangent bundle of V rated TV?

Nov310 02:47 PM
math6

2 
1,056 
excuse me but if someone can give me the exact definition of a subelliptic differential operator .
thnx a lot .

Nov310 03:29 AM
math6

2 
814 
Let's say I want to use the spherical law of cosines to determine the distance between two points. How do I calculate...

Nov210 09:20 AM
NobodySpecial

1 
2,006 
Is there any nonorientable onedimensional manifold ? If not, how to prove it? Thanks!

Nov210 07:20 AM
quasar987

1 
2,445 
hey, i'm getting really confused with something. If i have the covariant derivative of say, constant * exp(2f), is...

Nov210 07:19 AM
arkajad

3 
1,878 
Hello. I was wondering if anyone here could help me understand this method I found described in the paper:
"A...

Nov110 12:34 PM
Protected

0 
1,944 
Define 2tori as {(z1,z2) z1=c1,z2=c2} for c1 and c2 are constants, how to show that it is diffeomorphic to S^3

Oct3110 09:09 PM
robforsub

4 
1,300 
So I consider myself decently strong in algebra but many of the basic, important notions in algebraic geometry are not...

Oct3110 11:39 AM
mathwonk

9 
2,256 
I've been looking at the Birkhoffvon Neumann polytope, and the book stated that the vertices are given by the...

Oct3010 02:18 PM
mynameinc

6 
1,110 
hello!
just a quick question, does the covariant derivative of the metric give zero even when the indices(one of the...

Oct3010 12:16 PM
haushofer

3 
1,363 
How to find the angle of diagonal of a rectangular prism? On which plane will that be measure and why is it that so?

Oct3010 05:16 AM
k.udhay

0 
2,265 
Hi, everyone:
My prof. recently made a statement to the effect that , given a handlebody
decomposition of a...

Oct2910 07:27 PM
Bacle

0 
684 
I might have forgotten about it cause I took a similar course two years ago.
So I have this assertion:
Let F be a...

Oct2910 09:33 AM
MathematicalPhysicist

5 
1,498 
Hi folks,
I am following this pattern:
http://www.bit101.com/tutorials/3Drotation.html
to build a 3d model of...

Oct2910 07:59 AM
ducati321

0 
948 
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 
1,409 
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 
1,128 
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 
1,306 
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 
1,224 
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 
1,298 
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 
1,831 
Tensor densities are normally defined in terms of coordinate transformations. Could they also be defined as functions...

Oct2410 09:20 AM
arkajad

14 
2,698 
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 
2,301 
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 
1,264 
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 
1,673 
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 
2,371 
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 
695 
I'd like some help understanding three things.
 What is the topology of the Grassmann manifold or oriented...

Oct2210 02:41 PM
lavinia

13 
2,125 
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 
1,635 
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 
2,305 
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 
2,127 
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 
972 
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 
765 
Can a connected space have a countable disjoint cover of closed subsets with at least two elements?

Oct2110 04:43 PM
Jamma

15 
2,347 
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 
2,139 
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 
2,231 