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Differential Geometry

- Manifolds. Tensors and forms. Connections and curvature. Differential and algebraic topology
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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
1 26,560
Hello! I don't know if this is the right forum to post this doubt, but here it goes: I would like to know how to...
Jun30-10 05:53 PM
1 1,099
Hello, Is there a formula for calculating a range of latitude-longitude coordinates within a certain radius of a...
Jun30-10 05:43 PM
1 2,792
I am trying to understand why the following expression is a homotopy invariant. Start with 2 closed 1 forms whose...
May18-10 07:21 AM
1 788
In a first countable space any point that is adherent to a set S is also the limit of a sequence in S. In my head,...
May22-10 07:50 AM
1 1,049
I have an isometry between two manifolds M and N. Can someone help me why the following is true DF()=, where X,Y...
May22-10 02:52 PM
1 1,033
Hi: Is there a relation between k-connectedness ( meaning 1st, 2nd,..,k-th fundamental groups are trivial.) and...
May27-10 12:35 AM
1 1,014
I'm reading about a theorem that has as an assumption that the closure of some one-parameter subgroup is a torus. ...
May28-10 06:42 AM
1 1,115
Sorry i wasnt able to get help in the hw department. figured id try here. 1. The problem statement, all variables...
Jun1-10 12:25 PM
1 1,265
As a physics major I have seen in general relativity the power of modern differential geometry such as coordinate-free...
Jun7-10 05:29 PM
1 1,793
Hi all, I have a circular helix with any point on the helix defined using the Frenet tnb triad. t- tangent, b-...
Jun15-10 09:38 AM
1 926
Does a constant function have a local maximum?
Jun21-10 10:53 AM
1 823
take a circle in a plane identify two opposite points we get the projected space DP1 about the homotopy...
Jun24-10 05:50 PM
1 947
Here is an approach for lie derivative. And i would like to know how wrong is it. Assuming lie derivative of a...
Jun28-10 03:25 AM
1 957
i'm having trouble creating a arc for check for collision similar to a grenade launcher type weapon and am not very...
Jul3-10 11:54 AM
1 1,383
Assign to each side b of a convex polygon P the maximum area of a triangle that has b as a side and is contained in P....
Jul5-10 12:16 PM
1 1,670
In Random Operators in Fixed point theory of functional analysis, Is there any relation between the saparable...
Jul14-10 01:09 AM
1 1,296
I have the following problem: I'm studying a system of polynomial equations in R^n and I'm looking at the surface...
Jul8-10 07:06 PM
1 1,254
Hello, I have found in this page an important statement about solid angles. Namely, the differential solid angle...
Jul9-10 05:15 PM
1 1,051
Hi. I have critical points are plotted on contours, I just need to construct Reeb graph for it. Any body has got idea...
Jul12-10 12:10 PM
1 1,041
please take a look at this image there are 2 triangles. in these...
Jul14-10 04:13 PM
1 930
i have the normal vector of a polygon face, and an object i wish to align to it by rotating it on XYZ. my up vector is...
Jul14-10 10:45 AM
1 2,608
Say I randomly give each edge of a square a direction and then I identify opposite edges, do I always come up with a...
Jul14-10 04:32 PM
1 1,101
Hey there, My current objective is to study dynamics on compact spaces of negative curvature. This requires me to...
Jul21-10 04:21 PM
1 1,412
proof the following using only euclidean geometry: Let S be any point inside a triangle ABC and let SP; SQ; SR be...
Aug9-10 04:49 AM
1 943
Hi, Everyone: LetB: E-->X be a line bundle, with scructure group G and X has a CW -decomposition. I am...
Jul23-10 08:19 PM
1 894
Hey, here is the formal question. M is a riemannian sub-manifold in N. a,b are vector fields such that for each...
Jul27-10 03:16 AM
mehul ahir
1 1,237
Okay, sorry another question. I know I'm being a total idiot but I'm in a brain-stick (I just made that up) and I...
Jul28-10 02:02 PM
chlorine addi
1 1,316
Say we have a vector field defined in R^3. That is, at every point p in R^3, we have the corresponding set (p, v(p))....
Aug10-10 11:13 PM
1 1,185
Hello, Given two planes, P1 and P2, I would like to determine their line of intersection L. I know three points...
Aug11-10 09:14 PM
1 862
So I found a web gui for helping do an toe alignment on a car. So I've been looking over the code and I see some...
Aug20-10 10:23 AM
1 807
Say I pierce a paper Mobius strip with a pin and call the point on the side the pin entered the paper the point A and...
Aug20-10 09:18 PM
1 1,513
I am struggling to get an intuitive grasp of pre-sheaves and sheaves. It would really help me if I could find some...
Sep1-10 12:17 PM
1 1,703
I have a question about connections derived from degenerate metrics, like in Newton-Cartan. The question is simply:...
Aug26-10 12:42 PM
1 849
I am wondering if the following mod 2 cohomology class which can be defined on any compact surface, has any geometric...
Aug27-10 10:15 PM
1 923
Hi! I've finally decided to tackle a diff geom book, but I'm having trouble with this Problem 4/Chapter 2 from Do...
Sep16-10 02:59 AM
1 1,115
hello, i have a clarification question: if i have a metrizable space, can any open set be written as a countable...
Sep22-10 03:54 PM
1 1,178
Hello, I am constructing a MATLAB script to tightly pack an arbitrary given geometry with spheres of a predefined...
Sep26-10 12:02 AM
1 1,374
The answer is pretty clearly yes, but , embarrassingly, I cannot find a good argument to this-effect. Any hints,...
Sep26-10 09:04 AM
1 794
The question says: Show that if Q = x...x is a rectangle, the Q equals the closure of Int Q. The definition of...
Sep24-10 07:58 AM
1 1,447
Let M be a manifold and let f: m -> R a Morse function. Let x be a critical point of f and assume all critical points...
Sep28-10 11:19 PM
1 1,204

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