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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 30,988
Working on another problem here with varying results. I have three line segments in 3D and am looking to find what...
Jul21-12 08:53 PM
chiro
1 1,104
Hi All, I am currently reading Menzel's "Mathematical Physics" and one part in particular confuses me. When he is...
Jul20-12 05:28 PM
cpsinkule
7 1,709
There is an Exercise in a book as following : Given a Manifold M , if N is a sub-manifold , an V is open set then...
Jul20-12 12:17 AM
Bacle2
2 1,251
I'm interested in the crossover of Lie groups/differential geometry and I'm a bit confused about the relation of Lie...
Jul17-12 05:21 AM
TrickyDicky
5 1,709
Hi everyone, I am having a little trouble with the difference between a covariant vector and contravariant vector. ...
Jul16-12 04:36 PM
Matterwave
1 1,458
Hi, I am not very strong in maths, so sorry if these sounds simple. If I have a 3D geometry of a pipe which has its...
Jul16-12 08:26 AM
athuss
3 1,351
reading that the commutator of rotations on two orthogonal axes is i * the rotation matrix for the third axis but...
Jul15-12 01:57 PM
BWV
2 1,010
Hello everybody, i am new to this forum, i am not a physist not a mathematician, just an architect and i have a...
Jul15-12 12:06 PM
micromass
32 9,969
I'm trying to give an answer to the following problem, I hope someone could come in help! Consider a smooth...
Jul15-12 09:00 AM
finsly
4 1,082
Hi all, I'm currently writing an iPhone application where I'm taking the following ellipse which I created in Adobe...
Jul15-12 03:10 AM
MaTHFRo
6 1,548
Hi everyone, What is a co-variant derivative? I have looked online but the explanations are not clear. I just...
Jul14-12 11:00 AM
quasar987
4 1,675
I've been scratching my head over this one. I'm trying to find a system of equations to solve for points R and S. The...
Jul13-12 08:52 AM
chiro
3 1,372
So as I have read in Schutzs book on GR, and I'm finding his section on tensors and one forms very confusing. ...
Jul11-12 09:47 PM
lavinia
15 1,952
I'm trying to work out the mathematics of this for a school project. Say you have 4 beacons arranged in a square (I...
Jul11-12 07:25 PM
chiro
4 2,383
This might be more of an algorithm question than a math question: how do I go about distributing n points as evenly...
Jul11-12 09:18 AM
phyzguy
4 1,389
What mathematics are necessary for understanding and using minimal surfaces particularly in quantum field theory? As...
Jul10-12 04:27 PM
JPBenowitz
5 1,098
I can't seem to find on the web a site that gives the Z cohomology of the infinite dimensional Grassmann manifold of...
Jul9-12 06:22 AM
lavinia
4 1,303
On a bipartite graph a game of cat vs mouse can be played, with say both the cat and mouse starting on a "red" vertex....
Jul8-12 10:35 PM
KOSS
2 1,401
I am reading Munkres book on Topology, Part II - Algegraic Topology Chapter 9 on the Fundamental Group. On page...
Jul8-12 05:04 AM
lavinia
1 928
Hi all! It's already a couple of days that I'm trying to solve this problem. I've been given the following Kahler...
Jul8-12 04:37 AM
L0r3n20
3 1,106
On page 333 in Section 52: The Fundamental Group (Topology by Munkres) Munkres writes: (see attachement giving Munkres...
Jul7-12 09:06 AM
lavinia
3 1,205
This thread asks for help calculating the Z2 cohomology ring of the Klein bottle using intersections. This is what...
Jul7-12 08:07 AM
lavinia
3 1,737
Can someone explain to me in detail, why the ratio of the circumference of a circle to its diameter is not equal to pi...
Jul5-12 05:46 PM
Allojubrious
11 1,733
I'm not sure if this is the right section, but what the hell. I've been looking to buy a blu-ray of fractal zooms,...
Jul5-12 02:55 PM
Doofy
0 753
There is a part in the proof of sard's theorem where we restrict our discussion to a point x such that Df(x)=0, and...
Jul5-12 02:53 PM
Tinyboss
1 975
I am reading Thurston's book on the Geometry and Topology of 3-manifolds, and he describes the metric in the Poincare...
Jul5-12 02:25 PM
L0r3n20
4 1,541
Hello, In R^3, the surface of the parallelogram determined by two vectors u and v is given by the norm of the cross...
Jul4-12 02:24 PM
coquelicot
26 1,936
Hi! Does anyone know which is exactly the map of groups (2,3,∞) → (2,3,n) (from modular group to triangle group) as...
Jul4-12 07:25 AM
mery2
0 693
Hello, I want to ask for a verification of something I did. Lets say I want to compute the m-th cohomology group of...
Jul3-12 08:35 PM
lavinia
3 1,595
I think this a map of the Klein four-group geometry. Comments?...
Jul3-12 07:36 PM
micromass
57 9,178
Dear all, I have a problem that I need to solve. (I have made posts previously about this as well). Quite simply...
Jul2-12 11:28 PM
chiro
1 1,362
consider we have n dimensional manifold,N at point p we can define a vector this vector is independent of our...
Jul1-12 06:07 PM
HallsofIvy
1 599
{(a_i)_j} is the dual basis to the basis {(e_i)_j} I want to show that ((a_i)_1) \wedge (a_i)_2 \wedge.... \wedge...
Jun28-12 03:16 PM
brydustin
1 810
Desargues' theorem: Two triangles are in perspective axially if and only if they are in perspective centrally. I...
Jun26-12 05:10 PM
Iron-ben
0 807
Hi, I hope this is not too ignorant, but my Algebraic Topology is rusty: Is there such a thing as DeRham...
Jun26-12 07:30 AM
lavinia
10 2,954
Hi all! I have some problems understanding the geometrical construction of Klein's quartic. Starting from the...
Jun25-12 04:12 PM
Anti-Crackpot
1 1,172
Hi! I'm trying to understand a proof for the fact that the isometry group of a symmetric space is a Lie group. The...
Jun25-12 02:51 PM
Sajet
0 730
Hello, I'm trying to define an axis as a set of 3 unit vectors--u, v, and w. at a given point P Suppose we are...
Jun25-12 09:16 AM
meldraft
3 1,549
Consider the following: On a circle of radius 1, two points are marked: P1 and P2. Two lines are drawn from the...
Jun24-12 07:27 PM
Tinyboss
1 913
hi friends !! i have a little problem : Let M and N be two varieties, such that N is a menu hermitian metric h. Let...
Jun24-12 03:48 PM
math6
0 809

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