# Differential Geometry

- Manifolds. Tensors and forms. Connections and curvature. Differential and algebraic topology
 Meta Thread / Thread Starter Last Post Replies Views 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 26,549 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 1 962 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 1,078 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 0 744 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 2,032 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 1,059 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 0 816 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 1,280 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 0 906 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 1,328 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 1,224 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 3 929 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 1,731 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 1,441 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 0 655 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 0 765 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 3,276 \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 1,512 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 1,488 hey all, in this book ;... Sep30-12 09:05 AM zn5252 1 1,128 How do you solve ((grad(f(x,y,z))))^2? Sep29-12 08:04 PM quantumfoam 17 3,495 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 1,296 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 2,943 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 1,143 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 1,021 Here's a picture of an irregular tetrahedron, for reference: http://i.imgur.com/Y626c.png The base triangle... Sep27-12 05:42 PM torchfire 15 2,989 Hi, I have a curve defined by following parametric equation \gamma(\theta) = 1 + 0.5... Sep26-12 06:50 AM lavinia 1 812 Let $$f:U \to \mathbb{R}^3$$ be a surface with local coordinates $$f_i=\frac{\partial f}{\partial u^i}$$. Let $\omega$... Sep25-12 03:38 PM dextercioby 3 1,194 Hello, Can anyone tell me the general formula for commuting covariant derivatives, I mean, given a (r,s)-tensor... Sep25-12 02:48 PM dextercioby 2 1,718 If you have a Right Triangle and you have one angle, alpha. How do you find the other angle, beta? Sep22-12 10:08 PM mathwonk 2 1,136 I have a star-shaped geometry described by following parametric equation: ... Sep22-12 07:11 AM nawidgc 6 1,486 Hey everybody, I was reading in Singularities of differentiable maps by Arnold, Gusein-Zade and Varchenko and I... Sep20-12 01:00 PM Vargo 2 1,000 Ok first of all I'd like to mention that I've searched the forum and didn't find anything similar, so hopefully this... Sep20-12 09:18 AM lavinia 4 1,333 Hello! Im trying to read some mathematical physics and have problems with the understanding of vector fields. Th... Sep19-12 02:58 PM lavinia 5 1,497 How can one prove the formula for the surface of a cone as well as the volume of a cone without using calculus? Most... Sep17-12 07:03 PM HallsofIvy 5 2,106 I’m curious, but no mathematician. Euclidean geometry is the only type for which I've had training (45 years ago). ... Sep17-12 03:15 PM Faradave 13 1,314 http://chutzpah.typepad.com/.a/6a00e55180ed5c88340120a75cf644970b-pi How do the circles still intersect at the... Sep17-12 12:12 PM mathwonk 6 1,312 can one construct a solid Klein bottle - a 3 manifold whose boundary is a Klein bottle as follows. - Start with a... Sep17-12 09:14 AM lavinia 3 1,379 I am a college student .My club is planning an exhibition on the theme "Topology". Please suggest a main model for... Sep15-12 10:24 PM chiro 1 947 Hello everyone. I just created a YouTube video on how to draw 4, 5, 6, and 7 dimensional objects. Yes, contrary to... Sep13-12 10:23 PM TGlad 3 1,399 Consider a point p in a manifold with coordinates x^\alpha and another point nearby with coordinates x^\alpha +... Sep13-12 04:56 AM Trifis 7 2,805