
Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:25 AM
micromass

1 
31,147 
Hi everyone,
I know that there is a result that corresponding to a closed pform α, I can find a p1 form β,
such...

Apr1212 12:37 PM
Ben Niehoff

2 
1,338 
Hello,
I am reading the paper of S. Ishihara, Quaternion Kaehlerian manifolds, I need it for understanding of totally...

Apr1212 02:02 AM
DraganaMaric

0 
911 
Recently I have been working through a text on Differential Topology and have come across the notion of smooth...

Apr1112 07:24 PM
quasar987

1 
1,236 
First, I apologize for any awkward languageI'm still relatively new to mathematics. This problem seems to be related...

Apr1112 04:18 PM
NanoPassion

8 
1,320 
I'm afraid I need help again...
First, these two things are shown:
1) Let v \in T_{\bar p}\mathbb{CP}^n, v =...

Apr1112 03:52 PM
Sajet

6 
1,476 
Can the covariant components of a vector, v, be thought of as v multiplied by a matrix of linearly independent vectors...

Apr1112 07:53 AM
HallsofIvy

3 
1,055 
Dear Folks:
In most textbooks on differential geometry, the regular theorem states for manifolds without...

Apr1112 06:11 AM
lavinia

1 
1,320 
Hey all,
I have a vector field described by a complex potential function (so I have potential lines and...

Apr1012 08:01 PM
lavinia

4 
1,508 
Hi all!
I have a discrete 2D vector field with a particular characteristic: At every point, instead of having a...

Apr1012 12:13 AM
hiroman

1 
1,128 
I want to show that ∇2ϕ=ρ/2, which governs gravity in Newtonian physics?
I found solution of this question in ....

Apr912 02:41 PM
conquest

3 
1,509 
Dear there,
A plywood sheet can bend by certain degree before it breaks. Suppose f(x,y) describes the bended...

Apr912 02:12 PM
patiobarbecue

0 
952 
Dear Folks:
Here is the problem: in z<1, we difine a distance between any two points z1 and z2 by d(z1 , z2)...

Apr912 12:12 PM
Fangyang Tian

0 
1,045 
Dear Folks:
I come across the word "cusp" in two different fields and I think they are related. Could anyone...

Apr912 11:22 AM
mathwonk

1 
1,109 
Dear Folks:
It is well known that the preimage of a regular point is a imbedding submanifold, but is it...

Apr912 11:10 AM
mathwonk

2 
1,335 
What's it called when a 3D shape can be made of 2D surfaces of all the same shape and dimensions?
To make a cube, I...

Apr912 04:01 AM
Fangyang Tian

3 
2,270 
Hello! I've read some lie algebra in both group theory books and differential geometry books, and is confused about...

Apr812 11:36 PM
Fangyang Tian

10 
1,958 
Hi!
I'm working through this script and I'm not sure if if there is a mistake at one point, or if I'm just thinking...

Apr812 09:57 PM
quasar987

6 
1,233 
I came across the following statement in this oftenreferenced paper on EinsteinCartan theory (3rd page, righthand...

Apr812 06:02 PM
pellman

3 
1,266 
Hi, I have some more questions about this stuff, which, as always, confuses me. I am (extremely slowly) working...

Apr712 11:14 PM
Matterwave

2 
1,537 
Dear Folks:
Is there any relation between Curvature Operator and Universal Eveloping Algebra, since they look...

Apr712 11:36 AM
Fangyang Tian

0 
972 
i see the definition of differential manifolds in some book for example, NAKAHARA
but what is the definition of...

Apr612 02:05 AM
Matterwave

4 
1,285 
Problem: In circle C chords AB and XY intersect at P. Prove that the projections of P onto AX, BX, AY , BY are...

Apr512 10:38 PM
stanley4430

0 
1,010 
consider we have a map.
what condition should have our map that it has inverse?

Apr412 11:39 PM
Bacle2

2 
1,236 
Hello. I have a question that has been on my mind for some time. I always see in mathematical physics books that they...

Apr412 11:53 AM
Sina

9 
2,088 
Hi!
I'm trying to work through a script on Riemannian submersions but I have some problems with one proof in...

Apr312 07:28 PM
quasar987

7 
1,225 
Hi, All:
It's been a long time since I did this, and I have some basic doubts; please bear with me:
In Lee's...

Apr212 06:04 PM
Matterwave

4 
1,711 
From the things I've read on manifold geometry,metric is a property of the manifold.Maybe you can call it intrinsic....

Apr212 05:05 PM
WWGD

12 
1,818 
Hi, I'm looking for software that allows me to manipulate tensors as symbols themselves, i.e. not as lists of...

Apr212 02:37 PM
vappole

0 
1,284 
I am reading through Kiselev's Geometry: Book I. It is a plane geometry textbook and in the introduction it says the...

Apr212 12:40 PM
Office_Shredder

8 
1,895 
Simple question I am confused on. If I have a tensor M^{\alpha\beta\gamma} that is totally antisymmetric in its...

Apr112 09:41 AM
homology

3 
1,566 
Hello,
I am currently going over Nakahara's Geometry, Topology, and Physics and even though I have bumped into some...

Mar3112 12:33 PM
Office_Shredder

5 
1,960 
I've been thinking about complex residues and how they relate to the topology of a function's Riemann's surface. My...

Mar3012 02:16 PM
DonAntonio

1 
1,275 
How many ways in the entire world are there for computing Puiseux expansions of algebraic functions? I know of three...

Mar2912 06:29 AM
jackmell

2 
1,488 
I want to prove the next assertion in Jeffrey M. Lee's Manifolds and differential geometry.
If \mathcal{D}_1,...

Mar2912 01:02 AM
mathwonk

1 
1,050 
Folks,
I am looking at my notes. Wondering where the highlighted comes from.
Prove that a finite orthogonal set is...

Mar2812 01:28 PM
HallsofIvy

3 
1,397 
I need to prove that every line is contained by at least two planes using only the incidence axioms. This is what I...

Mar2812 12:33 PM
LCharette

2 
1,152 
I need to prove the interior of <ABC is a convex set. I know it is. I started by defining the angle as the...

Mar2812 12:30 PM
HallsofIvy

3 
1,518 
If torsion = antisymmetric part of the connection coefficients, and
...

Mar2712 06:50 PM
kutraj

8 
2,505 
The following is a problem that I’m sure is considered “basic” for mathematicians. I would therefore be gracious if...

Mar2712 01:42 PM
homeomorphic

2 
1,417 
The following is a distance formula for a metric/pseudometric space.
Please. Can anyone give me ANY insight...

Mar2612 07:38 PM
zmodnz

0 
1,182 