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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 26,547
Hello, I need help. The topic is a gradient in spherical coordinates. In cartesian it is clear but in spherical...
Aug9-08 05:00 PM
3 22,167
I am confused on what is meant by the modulus of a Riemann surface. I have done some very quick searches through my...
Jun4-12 11:04 PM
9 1,269
I have been working on something in my spare time and I have to graph the particle's motion in three dimensions...
May15-11 05:40 PM
4 3,852
I am trying to turn a 3D parametric equation into a vector field for an experiment, but I am not having much luck. =...
May17-11 03:54 AM
2 1,696
Let h = det h_{alpha beta}. The number of dimensions is not necessarily four. Show that \ delta h is the...
Jan16-06 05:07 AM
1 3,443
Hey guys. I am trying to find a shape that suits my needs. The amount of vertexes can be any, but the fewer the...
Jan6-12 09:03 AM
5 1,120
I would like to explore writing differential geometry in matrix format and was wondering if any of the experts here...
Nov22-09 10:27 AM
3 1,406
Does anyone know what the metric tensor looks like for a 2 dimensional sphere (surface of the sphere)? I know...
Jun25-11 03:48 PM
2 1,554
Has anyone written on differential geometry for complex spaces where rather than z = x + iy we use z = r e^it (Polar...
Dec3-12 11:49 PM
0 647
An ellipse is a conic section. If you construct an ellipse using a cone, does the axis of the cone cross through one...
Dec8-08 02:33 AM
3 3,262 It is known that simple perfect squared squares exist, with the lowest...
Feb21-12 03:53 PM
6 1,431
Hello guys, I keep hearing that Euclidean parallel postulate was broken through differential geometry, can someone...
Aug31-09 01:24 PM
20 2,942
I have a sphere with the equation (x-3)2+(y-2)2+(z+5)2=36 two question: 1. how do I find the equation of the...
Jan25-10 07:50 AM
1 5,098
I was talking to a friend recently about the nature of infinity and Georg Cantor's Continuum Hypothesis and I recanted...
May26-10 11:59 AM
2 889
I was wondering if topology has ever been utilized on the structure of DNA and how that applies to its functions? I am...
Sep8-10 12:18 PM
2 802
I need some help getting from point A to B. Let's say we have the plain ol' heat equation u_t=\Delta u where the...
Dec22-05 04:48 PM
3 1,774
OK, this is more of a spot for an elaboration on a question I just posted in another thread. Not quite duplicating...
Feb1-06 08:46 AM
5 6,252
Hi I'm looking for a simple definition fo the affine connection because I can't understand it's meanning , that...
Apr9-08 01:55 PM
12 6,677
Hi , everyone I have a problem with geodesic equation . I know the method of solving it , but I can't understand the...
Apr15-08 05:21 PM
the shadow
14 6,839
I find that group structure of n-sphere is SO(n+1)/SO(n) (at So I want to find...
Mar22-12 10:12 PM
7 1,380
Prove the theorem (Appolonius) for the triangle ABC where A, B, C are the respective points (-a,0), (a,0), (b,C) on...
Jun18-07 05:41 PM
2 1,842
Hello members, I am a bit stumped on a mathematical problem. If this is in the wrong section I apologize. ...
Oct8-10 06:51 AM
0 863
How many independant components does the Riemann-Tensor have in n- dimensional space?
Apr8-07 06:04 PM
Chris Hillman
5 5,092
What is the metric or distance between two points in a hyperbolic space of dimension n?
Sep1-08 03:46 AM
0 1,759
There are models I've come across in physics involving things such as a 4 dimensional surface of a 5 dimensional...
Sep13-10 07:35 PM
21 2,591
For n\geq 2, is there a smooth map f: S^n\rightarrow E (E is the equator of S^n) which has the property that the...
Sep30-09 07:52 PM
2 1,593
Using the Mayer–Vietoris sequence, how can we calculate the De Rham cohomology of the Kelin bottle?
Oct15-09 09:17 AM
8 3,409
I keep seeing this come up in relativity and tensor resources but I have no idea wht the heck it means. Could someone...
Feb19-07 11:10 AM
5 4,629
could someone please explain to me what the tensor product is and why we invented it? most resources just state it...
Feb23-07 05:58 AM
3 2,112
Can any resources on gaussian geometry be found on line?
Feb19-07 10:07 PM
2 2,833
How can we prove that the tensor product between two tensors of lower rank forms the basis for ANY tensor of higher...
Feb24-07 12:02 AM
37 4,110
what is a good book in differential geometry. I currently know calculus, a bit about differential equations, a bit of...
Feb28-07 03:16 PM
2 1,672
I've heard of something called a covariant derivative. what motivates it and what is it?
Mar18-07 05:16 PM
12 6,152
how do we derive the formula for the parallel tranport of a general tensor? I understand the ones for covarint and...
Mar18-07 06:05 PM
0 1,398
What orginally motivated the field of differential geometry?
Mar27-07 12:41 PM
25 3,056
i'm having a hard time computing these so could people show me several examples to help me get a better feel for them...
Mar24-07 04:22 AM
7 17,926
I was wondering as to how to prove stokes theorem in its general and smexy form.Also what is the intuition behind...
Apr15-07 01:13 PM
4 2,399
What exactly is the exterior derivative? What is its motivation? how do you compute it? Most importantly why is that...
May24-10 03:28 PM
18 4,578
i was curious as to what exactly this is and more importantly, what motivates it. what are its applications?
Jun13-10 04:27 AM
35 15,571
what are they exactly?
Apr24-07 02:26 PM
1 1,117

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