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Differential Geometry

- Manifolds. Tensors and forms. Connections and curvature. Differential and algebraic topology
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 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...
Oct29-10 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 ?
Oct28-10 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...
Oct27-10 02:17 AM
tiny-tim
5 1,289
I want a projection of Earth where distances are undistorted. i.e. 10 degrees of latitude at the equator is exactly...
Oct26-10 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 ...
Oct25-10 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...
Oct24-10 12:22 PM
G4CKT
1 1,813
Tensor densities are normally defined in terms of coordinate transformations. Could they also be defined as functions...
Oct24-10 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 ...
Oct24-10 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...
Oct24-10 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...
Oct24-10 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...
Oct23-10 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...
Oct22-10 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...
Oct22-10 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...
Oct22-10 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...
Oct22-10 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...
Oct22-10 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...
Oct22-10 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...
Oct21-10 10:19 PM
Ralajer
0 759
Can a connected space have a countable disjoint cover of closed subsets with at least two elements?
Oct21-10 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...
Oct20-10 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...
Oct20-10 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...
Oct20-10 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...
Oct20-10 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...
Oct20-10 07:45 AM
arkajad
6 1,295
Which of this is tri-conic & which is bi-conic nosecone ...
Oct19-10 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...
Oct19-10 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...
Oct19-10 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...
Oct18-10 04:31 PM
Jamma
3 1,076
Now F:S^2->R^4 is a map of the following form: F(x,y)=(x^2-y^2,xy,xz,yz) now using the smooth covering map...
Oct18-10 05:58 AM
quasar987
1 2,625
Any hint PLZ http://img151.imageshack.us/img151/1715/1111111111k.jpg Thank You
Oct18-10 04:32 AM
arkajad
3 775
How can you find more than one right inverse. Thanks for ur time
Oct17-10 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...
Oct17-10 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...
Oct17-10 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...
Oct17-10 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...
Oct16-10 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...
Oct16-10 04:08 AM
tiny-tim
1 670
Most definitions I've seen for a manifold are based on the idea that small neighborhoods are homeomorphic to...
Oct15-10 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...
Oct12-10 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...
Oct12-10 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...
Oct12-10 03:35 AM
onako
1 838

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