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

Feb2313 09:25 AM
micromass

1 
26,556 
Hey guys,
How exactly do you take the trace of a tensor product? Do I take the trace of each tensor individually...

Nov2108 06:25 AM
tinytim

8 
6,312 
Dear all,
I can formally understand one of the many definitions of tangent vectors to a manifold, but what are they...

Oct1708 12:12 PM
wofsy

32 
6,306 
OK, this is more of a spot for an elaboration on a question I just posted in another thread. Not quite duplicating...

Feb106 08:46 AM
bchui

5 
6,252 
If I stretch an ellipse with .5 eccentricity along an axis 45 degrees from its major axis, doubling its area. How do I...

Sep808 08:31 AM
Keys

4 
6,246 
I hope I am posting in the right section.
Up to today I was assuming that earth is a sphere, and I was using the...

Nov2310 02:45 AM
MasterX

5 
6,242 
I often think I have fully understood this, then some question comes up in my mind, and I get confused again (which...

Jul1006 07:03 PM
mathwonk

19 
6,186 
I've heard of something called a covariant derivative. what motivates it and what is it?

Mar1807 05:16 PM
Terilien

12 
6,153 
one elementary result that you see when you first learn differential geometry is that the pushforward of the Lie...

Jun1611 10:17 AM
Yannick30

3 
6,096 
:confused:

Apr1807 07:40 AM
pmb_phy

7 
6,063 
I'm looking for a function
f: > R such that f and f2 are integrable on
any helps?

Feb409 06:40 AM
irresistible

5 
6,058 
hi,
i am trying to prove that
\nabla V
which has components
(\nabla V)^\alpha{}_{\beta} = V^\alpha{}_{;\beta}
is...

Oct3104 09:31 PM
mathwonk

18 
6,056 
Let A be the adjacency matrix of some graph G. I am aware that A^n
counts paths of length n between vertices of G,...

Dec1409 05:32 PM
asja

0 
6,052 
I'm currently reading through Roger Penrose's book The Road to Reality and in his Hyperbolic Geometry discussion he...

Aug2710 11:16 AM
Kevin_Axion

2 
6,026 
I wonder if anyone might have some suggestions for a good selfstudy book on tensors. I'm just starting in on Jackson...

Sep106 09:15 PM
Daverz

5 
6,022 
Can a killing vector field generate a diffeomorphism that only shifts points inside a small part of the manifold and...

Mar2207 10:17 PM
kakarukeys

3 
6,018 
im looking for a basic high school level geometry book to tech myself from i looked on amazon for a book and i found...

Jul2109 11:24 AM
Capt. McCoy

2 
5,989 
im thinking of taking in 2008 the second semester a course in analysis of manifolds.
now some of the preliminaries...

Sep1107 10:51 PM
MathematicalPhysicist

9 
5,940 
Is the matrix of a second order symmetric tensor always symmetric (ie. expressed in any coordinate system, and in any...

Apr2607 10:02 AM
BobbyFluffyPric

10 
5,921 
Hi, I'm trying to convert latitude and longitude into meters (x,y). I was thinking of UTM however I don't understand...

Dec510 07:19 AM
awkward

3 
5,913 
I've just begun investigating differential forms. I have no experience in this field and no formal, university level...

Jun211 03:06 PM
shrubber

11 
5,883 
Hello,
I'd like to learn about tensors so i can start learning about special relativity. I understand nothing right...

Dec1006 05:26 PM
andytoh

16 
5,853 
Hi! I´m trying to get an intuition for these concepts and was just playing at home.
My thought was to start with a...

Feb1412 12:29 AM
julian

23 
5,844 
I asked this question in an SR thread started by someone else but it really belongs in this forum. I received much...

Jul407 11:17 AM
llarsen

29 
5,807 
Let X be a compact space, (Y,p) a compact metric space, let F be a closed subset of C(X,Y) (the continuous functions...

Feb2108 01:00 PM
MathematicalPhysicist

15 
5,796 
I'm trying to build up enough understanding to work through some GR on my own, but I'm horribly confused by some of...

Feb509 04:25 PM
CompuChip

6 
5,781 
Being not an expert, my question might sound naive to students of mahematics. My question is how on earth a Lie group...

Jun1613 02:32 AM
D H

20 
5,761 
Could anybody please give advice for the study of complex analysis, Riemann surfaces & complex mappings. These...

Feb408 08:56 PM
mathwonk

3 
5,689 
Hello. This is 2D with arbitrary orientations.
I have a quadratic curve segment defined by 2 end points and another...

Aug2611 10:26 AM
Unrest

18 
5,680 
Hi, I am working on a simulation code that simulates the deformation of sand grains in 2D. The sand grains are modeled...

Feb2409 10:21 PM
Edwin

6 
5,679 
Under which conditions is an inverse of a continuous bijection continuous?
I'm not seeking for "the" answer. There...

May1709 10:34 AM
quasar987

10 
5,646 
Hi, everyone:
I was just going over some work on Hyperbolic geometry, and noticed that
the geodesics in...

Dec907 04:23 PM
Chris Hillman

8 
5,642 
About the proof of the homology of the Klein Bottle here:...

Mar1109 02:56 PM
quasar987

3 
5,621 
Ok, one more diff geometry question! I need to show the following:
Show that if Cij are components of an...

Oct908 10:13 AM
cathalcummins

32 
5,605 
I want to make sure of my understanding of coordinate transformations.
First of all, is it true that if \ is a...

Dec2710 03:51 PM
haushofer

43 
5,599 
Hello!
Could anybody give me an idea about this proof?
knowing f_{i}:X\rightarrowR i=1,2
to show whether...

Oct2908 01:13 PM
tim_lou

3 
5,567 
In attempting to arrive at a fair critique of Alexander de Seversky's "Combat Plane" concept, I discovered something...

Aug711 09:32 AM
Dickfore

24 
5,558 
Hi,
Let \mathbf{x}(u,v) be a local parametrization of a regular surface. Then the coefficients of...

Nov407 10:23 PM
Chris Hillman

6 
5,543 
i don't know if i can post it here, like this man http://www.physicsforums.com/showthread.php?t=397395, there's alot...

Oct610 05:52 AM
annoymage

2 
5,529 
Wald (p. 41) defines a geodesic as a curve whose tangent vector satisfies
T^a\nabla_aT^b=0 . . . . . (3.3.1)
...

Feb1510 10:04 PM
wofsy

15 
5,480 
So, where do I begin?
I have a current interests in going into Algebraic Topology and I am currently learning about...

Feb706 01:42 PM
Doodle Bob

28 
5,452 