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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 30,377
Hey guys, I am confused about the concept of sections of vector bundles. Mobius band is nontrivial line bundle over...
Mar16-12 04:40 PM
lavinia
2 988
I am not sure if this is entirely possible, as my spherical trig skills are lacking. Would it be possible to...
Mar16-12 08:19 AM
Insanity
2 1,291
Hi all, I've been wondering about this for some time. While I am only familiar with the basics of differential...
Mar16-12 05:30 AM
Alesak
16 2,408
I need any help with the next question I posted in math.stackexchange, thanks....
Mar14-12 12:36 PM
MathematicalPhysicist
8 1,051
The vanishing divergence(s) of the stress-energy tensor, which proves/demands (not sure which) the conservation laws...
Mar13-12 10:17 PM
marschmellow
0 983
I have made a geometry, see first attachment, I call the “Torbus”, from the two geometries of a Toroid and a Mobius...
Mar13-12 02:40 PM
Ray Fischer
13 2,463
Or perhaps there is a more general function that sends to the next hypervolume? Can it be bijective? Continuous?
Mar13-12 01:31 AM
Bacle2
7 1,153
Hello all I work in railway transport. I am trying to re-design an existing railway curve; the existing...
Mar12-12 08:48 PM
Stephen Tashi
1 874
I'm just learning manifold geometry and tensor analysis.From the things I've understood till now,an idea came into my...
Mar12-12 09:45 AM
Shyan
3 1,011
I've been trying to find an algorithm for finding a line passing through any 2-dimensional polygon that will divide...
Mar11-12 09:49 AM
jamnitzer
0 1,209
For you math people who like to express objects in a coordinate-free way, how would you denote the Riemann and the...
Mar11-12 09:01 AM
Matterwave
3 916
Hi, We are using a radio interferometer to measure the angular diameter of the Sun. An in depth description of...
Mar11-12 04:55 AM
omoplata
2 945
Dear all, I am sorry for making a rather useless thread, but could you please guide me towards any relevant...
Mar10-12 12:39 PM
Charles_Henry
0 953
Hi, I can't find any picture of a two-torus T˛ in the net after much searching. Does anyone have a link or can draw...
Mar8-12 10:55 AM
mathwonk
4 1,412
Hi, I was wondering whether it's possible to define a rotation in 3 dimensions about the origin. Is it necessary to...
Mar8-12 10:52 AM
mathwonk
3 1,389
Hi all, I am trying to make sense of a paper involving differenital geometry and Lie algebras. Here's the part I am...
Mar7-12 01:20 PM
ianhoolihan
1 1,145
Hi, I'm just wondering, a vector valued (or (n,0) tensor valued) p form is the same as a rank (n,p) tensor which is...
Mar7-12 01:36 AM
Matterwave
7 1,820
Hi, I want to rotate vectors through 120 and they are unit vectors so they lie on a unit spheres. So basically the...
Mar4-12 11:01 AM
tut_einstein
4 1,648
I am trying to calculate the covariant derivative of the Ricci Tensor the way Einstein did it, but I keep coming up...
Mar3-12 06:29 PM
nobraner
0 1,138
I don't know anything about Unitary Ball what is a Unitary ball? how make a unitary ball consider to a metric...
Mar3-12 02:37 AM
Matterwave
7 1,193
Assuming that we are working with an infinitessimally small region of a manifold so that we can consider only first...
Mar3-12 01:19 AM
Matterwave
14 1,998
Continuity equation is dj+\partial_t\rho_t=0 where j and \rho are a time-dependent 2-form and a time-dependent...
Mar2-12 01:10 AM
mma
2 1,625
Hi Let D be an anisotropic tensor. This means especially, that D is traceless. \mathrm{tr}(D) = 0 Apply...
Mar1-12 12:42 PM
Joschua_S
5 2,618
Greetings, I wonder if a proof of the relation between the directional cosines of two vectors and cosine between...
Feb29-12 12:37 PM
Septim
5 1,546
Here is my maths seminar video:Visible Fibre Bundle,discussing the vivid picture of fibre bundle which is the basic...
Feb29-12 07:52 AM
Tinyboss
1 1,347
Hi Everyone! Somewhere I read <:uhh:or possibly I think so and am wrong> that christoffel symbols correspond to...
Feb29-12 03:43 AM
Matterwave
1 1,186
I've been looking in various books in differential geometry, and usually when they show that a smooth manifold has a...
Feb28-12 09:28 PM
mathwonk
7 1,750
Hey guys, I'm looking for a good treatment (good = concise, and clear) of affine geometry. Connections, parallel...
Feb28-12 11:10 AM
Matterwave
4 1,430
Hi, I'm not sure if this is the right place for this....if it isn't if I could be redirected/if a moderator could move...
Feb28-12 01:05 AM
Bacle2
2 1,596
Hi everyone: How is the following derived? Just for example: ...
Feb27-12 07:31 AM
dpa
5 1,522
How does one compute the modular group of the torus? I see how Dehn twists generate the modular group, and I see how...
Feb26-12 09:17 PM
electroweak
2 1,471
By continuity I mean an unbroken fractal. With certain variants, one ends up with sharp gaps in the fractal. ...
Feb26-12 06:58 PM
Matt Benesi
4 1,373
I would like to study the path components (isotopy classes) of the diffeomorphism group of some compact Riemann...
Feb26-12 08:20 AM
quasar987
2 1,385
Hi All, I am an idiot but I donot understand the parallel transport: Parallel transport should be in surface...
Feb26-12 05:30 AM
arkajad
3 1,104
Wikipedia gives the relationship between a cartesian and curvlinear coordinate system as gi=(partial)x1/(partial)zi...
Feb25-12 05:26 PM
Group_Complex
0 1,118
Hi all, I am a little stuck on a problem I'm trying to solve for something I'm programming. I'm trying to find the...
Feb25-12 04:11 PM
Snoopey
2 1,770
Hi friends !! Let E be a holomorphic vector bundle over a complex manifold M . We identify M with the zero section...
Feb24-12 10:19 PM
mathwonk
2 1,387
i am trying to figure out how to calculate the circumference of a circle in the Poincare Half Plane. I know that...
Feb23-12 02:54 PM
arkajad
1 1,391
Hi can anyone help me out with finding the interior angles of a pentagon on a sphere. I know two of the interior...
Feb23-12 01:59 PM
mathwonk
2 1,712
I don't understand the fibre bundle structure of the Mobius band, described by my textbook. "The base space ##X## is...
Feb23-12 01:26 PM
Bacle2
11 2,097

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