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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 29,345
From the things I've read on manifold geometry,metric is a property of the manifold.Maybe you can call it intrinsic....
Apr2-12 05:05 PM
WWGD
12 1,771
Hi, I'm looking for software that allows me to manipulate tensors as symbols themselves, i.e. not as lists of...
Apr2-12 02:37 PM
vappole
0 1,256
I am reading through Kiselev's Geometry: Book I. It is a plane geometry textbook and in the introduction it says the...
Apr2-12 12:40 PM
Office_Shredder
8 1,816
Simple question I am confused on. If I have a tensor M^{\alpha\beta\gamma} that is totally antisymmetric in its...
Apr1-12 09:41 AM
homology
3 1,531
Hello, I am currently going over Nakahara's Geometry, Topology, and Physics and even though I have bumped into some...
Mar31-12 12:33 PM
Office_Shredder
5 1,909
I've been thinking about complex residues and how they relate to the topology of a function's Riemann's surface. My...
Mar30-12 02:16 PM
DonAntonio
1 1,247
How many ways in the entire world are there for computing Puiseux expansions of algebraic functions? I know of three...
Mar29-12 06:29 AM
jackmell
2 1,442
I want to prove the next assertion in Jeffrey M. Lee's Manifolds and differential geometry. If \mathcal{D}_1,...
Mar29-12 01:02 AM
mathwonk
1 1,036
Folks, I am looking at my notes. Wondering where the highlighted comes from. Prove that a finite orthogonal set is...
Mar28-12 01:28 PM
HallsofIvy
3 1,368
I need to prove that every line is contained by at least two planes using only the incidence axioms. This is what I...
Mar28-12 12:33 PM
LCharette
2 1,131
I need to prove the interior of <ABC is a convex set. I know it is. I started by defining the angle as the...
Mar28-12 12:30 PM
HallsofIvy
3 1,483
If torsion = anti-symmetric part of the connection coefficients, and ...
Mar27-12 06:50 PM
kutraj
8 2,454
The following is a problem that I’m sure is considered “basic” for mathematicians. I would therefore be gracious if...
Mar27-12 01:42 PM
homeomorphic
2 1,390
The following is a distance formula for a metric/pseudometric space. Please. Can anyone give me ANY insight...
Mar26-12 07:38 PM
zmodnz
0 1,174
Hello, I'm looking for an appropriate rotation representation for the following situation. I have two (always...
Mar26-12 05:08 PM
sodemus
0 1,093
Hi all, I've been fiddling around with this problem for a while. I intuitively understand that the parallel...
Mar26-12 03:39 PM
ianhoolihan
1 1,248
Does anyone know if there is a non-Euclidean geometry(or something like that) where the circle becomes a line or a...
Mar25-12 05:44 PM
zmodnz
9 2,154
Hello everyone! Could someone tell me how to evaluate the integral \int_{B_{\delta}(p_0)}{\frac{1}{(1 + d^2(p_0,...
Mar25-12 04:12 PM
Goklayeh
0 957
Hi guys, I have questions about algebraic functions and not sure where to ask. Hope it's ok here. Given the...
Mar25-12 03:35 AM
jackmell
4 1,323
(X,\rho) is a pseudometric space Define: x~y if and only if ρ(x,y)=0 (It is shown that x~y is an equivalence...
Mar25-12 03:13 AM
Lily@pie
2 1,449
Hello all I was hoping someone could help me with the following problem. I work on the railroads and my task is...
Mar24-12 12:28 AM
chiro
1 1,621
Ok, so I don't have much of an intuition for frame bundles, so I have some basic questions. A frame bundle over a...
Mar23-12 07:41 PM
quasar987
39 3,922
How do I show that Maslov index satisfies the next property (product property). Let \Lambda : \mathbb{R} /...
Mar23-12 09:56 AM
quasar987
2 1,152
Given the complete classification of finite simple groups, can one say that the number of all conceivable 2D/3D...
Mar23-12 06:21 AM
M Quack
3 1,130
I am struck in a place where i have to find length of a line(a in fig i.e between P1 and P2) in the form of r and...
Mar23-12 03:32 AM
tiny-tim
1 1,362
I find that group structure of n-sphere is SO(n+1)/SO(n) (at http://en.wikipedia.org/wiki/N_sphere). So I want to find...
Mar22-12 10:12 PM
homeomorphic
7 1,465
I have a question about terminology. Suppose we have a space X with the property that: for all x, x' in X and...
Mar22-12 07:44 PM
micromass
3 1,408
Nevermind- Found my own answer
Mar22-12 10:15 AM
Tinyboss
1 1,155
Hi, I am am currently taking a second course in geometry, the first part of the course concerns projective...
Mar22-12 08:20 AM
chiro
4 1,317
Hi, I have a bilinear form defined as g : ℝnxℝn->ℝ by g(v,w) = v1w1 + v2w2 + ... + vn-1wn-1 - vnwn I have to show...
Mar21-12 09:37 AM
Alesak
6 1,835
Hello I have been thinking about dimensional analysis with respect to computer systems. It has become obvious to...
Mar21-12 09:30 AM
D H
31 3,344
Dear Sir/Madam, i am doing GR just for fun and have not any degree in neither physics or mathematics. My question is...
Mar20-12 03:32 PM
Dom Claude
0 845
Hello, Am working on a model that involves heat conduction in a semi-infinite solid. I have been using linspace()...
Mar19-12 06:22 AM
meldraft
1 1,206
If a line segment of size L, is made up of an infinite amount of points. Then divided into half, and then half again,...
Mar18-12 07:20 PM
micromass
5 1,680
One of the definitions of the tensors says that they are multidimensional arrays of numbers which transform in a...
Mar18-12 12:51 AM
Shyan
11 1,429
My question is about a general comment made in differential geometry books: There cannot be a single chart for the...
Mar18-12 12:38 AM
ayan849
24 2,368
We all are familiar with the kind of differential geometry where some affine connection always exists to relate...
Mar17-12 07:59 AM
ayan849
9 2,900
Pre-requisite: Protractor Requirement: Both the measurers and the object should be perpendicular to the ground ...
Mar16-12 08:38 PM
moonman239
0 1,624
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
2 981
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 1,286

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