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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 30,367
Suppose a set of k arbitrary points, x_i, 1<=i<=k, x_i from R^2 are selected from a line. How can it be shown that a...
Oct29-12 11:34 AM
Vargo
6 1,144
Find the vertices of α(t) = 1 - 2 cos(t) I know that to find the vertices we have to set the curvature equal to...
Oct29-12 08:02 AM
lavinia
2 1,005
Hi Given is a triangle on points x,y,z in the plane. This triangle has two points a and b on opposite sides (see...
Oct27-12 02:00 AM
chiro
7 1,153
prove that for any graph G, kappa (G) ≤delta (G).
Oct27-12 01:14 AM
Bacle2
3 1,105
Can someone please confirm that there is a typo in Nakahara's Geometry, Topology, and Physics, on page 319 (the last...
Oct26-12 12:15 PM
mathwonk
3 1,474
I shall use Seidel's definition of a Liouville domain; in particular, a Liouville domain is a compact manifold M ...
Oct24-12 06:34 AM
quasar987
1 892
Does anyone know where I can find an algorithm for the points of intersection of two ellipses existing with arbitrary...
Oct23-12 09:34 PM
Norwegian
1 1,568
Hi, I've run into a problem with expanding algebraic functions via Newton polygons. Consider the function: ...
Oct23-12 01:13 PM
mathwonk
5 1,475
Hello, I've just started learning about asymptotes in school. The questions I have are: 1. To find the vertical...
Oct22-12 10:51 AM
mathwonk
1 768
I was working on some algebraic topology matters, thinkgs like the connected sum of some surfaces is some other...
Oct21-12 12:37 AM
julypraise
5 1,288
I had doubts whether to post this here or in in the physics section but I did here because I'm more interested in a...
Oct20-12 02:56 PM
Muphrid
91 9,598
Let $$M$$ be a surface with Riemannian metric $$g$$. Recall that an orthonormal framing of $$M$$ is an ordered pair of...
Oct20-12 07:24 AM
Bacle2
2 1,019
Hi, You guys know of any (software) function which accepts as input an aribtrary algebraic function, then computes...
Oct18-12 07:53 PM
mathwonk
6 1,536
How do you calculate the Normal vector to an Ellipse. Radius Vector: r=rx*i + ry*j + rz*k Velocity Vector:...
Oct18-12 04:48 PM
Philosophaie
15 3,718
Let $$(M,g)$$ be an oriented Remannian surface. Then globally $$(M,g)$$ has a canonical area-2 form $$\mathrm{d}M$$...
Oct18-12 08:34 AM
quasar987
4 961
Let $$f:U \to \mathbb{R}^3$$ be a surface, where $$U=\{(u^1,u^2)\in \mathbb{R}^2:|u^1|<3, |u^2|<3\}.$$ Consider the...
Oct18-12 03:34 AM
semigroups
0 741
Hi, I need to do this for some homework and I don't really understand... could anyone help with the following...
Oct17-12 11:14 PM
coalquay404
1 1,019
I'm trying to write an algorithm that will create the smallest possible ellipse to encompass any number of points on...
Oct17-12 11:40 AM
Physt
4 1,173
Take for example, the function: a_0(z)+a_1(z)w+a_2(z)w^2+a_3(z) w^3+a_4(z)w^4+a_5(z)w^5=0 with the degree of ...
Oct17-12 06:28 AM
jackmell
0 839
I am having trouble getting a set definition of what constitutes a manifold for example , I have the real plane...
Oct15-12 11:59 PM
Bacle2
24 2,134
I got these people trying to say that you can orientate a solid oblong so that it looks half the length and width with...
Oct15-12 10:34 PM
Simon Bridge
3 1,128
Suppose I'm given a random function: (-8+5 z+4 z^2)\text{}+(7 z+6 z^4-7 z^5)w+(3 z^2-z^3)w^2+(-8 z-2 z^4-2...
Oct15-12 08:18 AM
jackmell
0 867
I'm not sure if this is the right forum. I'm actually trying to solve this for a computer program given shape A...
Oct13-12 10:10 PM
Muphrid
1 1,405
Hi, buddies, i am a mechanical engineering student, and while i was going through the concepts of Instant centers of...
Oct12-12 09:37 PM
anandtr2006
0 946
If I start out with a flat beam of length a and then I fix one side and then bend the other side up to form an arc...
Oct12-12 06:33 PM
Studiot
1 1,448
Can an ellipse's focal points be outside the ellipse? I have tried googling this, but without any good explanations or...
Oct11-12 10:06 AM
HallsofIvy
4 1,330
Hello there, This might be probably a simple question, but my wondering was: Is there any relation between the...
Oct10-12 01:36 PM
mathwonk
3 1,013
Hi all, I am trying to understand geometric flows, and in particular the Ricci flow. I understand how to calculate...
Oct10-12 12:29 PM
meldraft
8 2,150
I want to calculate the surface area of semi cylinder with one or both ends skew at a given angle. To calculate the...
Oct10-12 12:28 AM
smstoankur
3 1,527
Given a Finsler geometry (M,L,F) and $$g_{ab}^L=\frac{1}{2} \frac{\partial^2 L}{\partial y^a \partial y^b}$$...
Oct8-12 05:29 AM
ngkamsengpeter
0 843
I'm developing a game for the iPhone, and I have a situation where I have a graphic that the user can drag around the...
Oct4-12 06:57 AM
MaTHFRo
0 822
in the wikipedia page for the Levi Civita symbol, they have a definition of the product of 2 permutation symbols as: ...
Oct3-12 07:34 PM
demonelite123
2 3,506
\frac{}{}Hello, I've been trying to search for a general description for the Euclidean distance from a point to a...
Oct3-12 05:03 PM
heymaniknowyou
7 1,637
The relation between the vector operator curl and rotation in fluids and vector fields is treated thoroughly in many...
Oct1-12 08:11 AM
Paulibus
10 1,647
hey all, in this book ;...
Sep30-12 09:05 AM
zn5252
1 1,197
How do you solve ((grad(f(x,y,z))))^2?
Sep29-12 08:04 PM
quantumfoam
17 3,879
I'm having trouble understanding the exponential map for nonlinear vector fields. If dσ/dt=X(σ) for vector field...
Sep29-12 06:39 PM
quasar987
5 1,401
I posted this in yahoo questions, but perhaps this is a better place for it. The Tesseract assumes that in order to...
Sep29-12 01:38 PM
laserblue
14 3,176
This is really starting to bug me. I built an object out of tooth picks and glue. It's simple. An...
Sep28-12 08:15 AM
Alfi
1 1,217
I have two vectors: r1v=r1x*i + r1y*j + r1z*k r2v=r2x*i + r2y*j + r2z*k and r1=Math.sqrt(r1x^2 + r1y^2 +...
Sep27-12 10:31 PM
Muphrid
2 1,087

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