# Differential Geometry

- Manifolds. Tensors and forms. Connections and curvature. Differential and algebraic topology
 Views: 224 Announcement: End of year contest, $75+$50 prize! Dec18-13 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 10:25 AM micromass 1 24,691 Are there any methods for finding the minimal (or at least of smaller dimension) projective space P^n which can... Dec2-11 01:17 AM mathwonk 6 1,977 Hi,all How do I use Group Theory to study two electron correlation? Is there any book related to that? Euphemia Dec1-11 05:11 PM Euphemia 0 880 @Mods I initially posted this thread in the wrong section, apologies for the mistake. Dec1-11 10:57 AM Bittersweet 0 991 Hi there! I'm working on a physics problem where there is a liquid droplet (not necessarily spherical) on a... Nov30-11 12:47 PM cathalcummins 0 870 I have to understand what is orientation sheaves? I will use it when defining a Morse- Bott complex ( with the sense... Nov28-11 03:44 PM seydunas 0 888 If we consider a Riemannian surface as a one-dimensional complex manifold, what does that tell us about its intrinsic... Nov28-11 03:28 PM homeomorphic 156 11,337 Hi, I'm having trouble understanding why is tangent space at point p on a smooth manifold, not embedded in any... Nov27-11 06:31 PM lavinia 13 2,327 Hi, I'm told that a basic result in algebraic geometry is that all algebraic functions w(z) of one variable given... Nov27-11 02:19 PM jackmell 2 1,253 Why is it that a contravariant tensor must be contracted with a covariant tensor, and vice versa? Why is this so? Nov27-11 11:04 AM Sina 2 1,587 I came across this problem in Willard, General Topology 18H.2, where it says "For compact n-manifold X, prove that... Nov26-11 12:28 AM Bacle2 24 2,210 Hi. This question is on geometry with circle and triangle. But I am posting here and not in the Homework section... Nov25-11 03:53 PM seniorhs9 0 1,029 - A tube around a manifold embedded in Euclidean space is a manifold with boundary. Is the tube always orientable? ... Nov25-11 06:30 AM Jamma 9 1,523 Hi, Currently, I need to read some reference about Integrable System, but I am stuck in Riemann Surface, genus,... Nov24-11 03:37 PM mathwonk 2 1,589 Is there a C^infty map that is one to one from R^n to R? Thanks. Nov24-11 02:27 PM mathwonk 5 1,271 Hello Physicsforums! It is quite often that I find the geometrical visualization of a covector field as a field... Nov23-11 09:07 AM Hymne 12 2,112 In differential geometry, how can one show that the area form: √(EG-F2)du\wedgedv is independent of the choice of... Nov23-11 12:01 AM phyalan 2 1,242 This is an example from Bott and Tu 's book DFAT(page 125).The example is in the image.I don't understand why can we... Nov22-11 09:49 PM lavinia 3 1,282 I learnt something about genus in Topology. The concept Genus in Topology is intuitive and lucid. Now I am confronted... Nov22-11 08:46 PM mathwonk 2 2,001 Hi all! Let's start from the begin to see where I get lost. Extrinsic curvature defines the way an object relates... Nov22-11 04:56 PM homeomorphic 8 1,441 Hi all, I'm having trouble understanding what 'identifying vertices' means for a planar model of a surface. This is... Nov22-11 06:53 AM ascky 0 924 Alright, this is a bit of a confusing one for me. The problem:... Nov22-11 01:06 AM Norpyx 3 2,074 The photo below is a picture of a problem in my complex analysis text book but a topology question occurred while I... Nov21-11 07:21 PM woodssnoop 0 1,194 Hi, i can not understand how circle has a nontrivial bundle, Möbius bundle. Can you say me what is its transition... Nov20-11 09:32 PM lavinia 1 1,026 Hi, I want to ask a problem from Lee ' s book Introduction to Smooth Manifolds: Let F_p denote the subspace of... Nov20-11 12:29 PM seydunas 3 882 Hi all, I was following Nakahara's book and I really got my mind stuck with something. I would appreciate if anybody... Nov18-11 07:03 AM konik13 0 1,163 Suppose we have a simple Lie Group G, i.e, a Lie Group with a trivial center(the identity). Show that this group must... Nov17-11 12:29 AM shybishie 0 739 Hi!The details is in the attached file. I don't understand the sentence which is bolded,why if we extend the... Nov14-11 10:32 PM kakarotyjn 1 1,145 In Barrett O'Neill's Elementary Differential Geometry book...he says that the cone M:x^{2} + y^{2}=z^{2} is not a... Nov14-11 01:21 AM paluskar 0 795 Hello all, I'm not sure if there's a simple answer to this, and if there isn't, I won't waste your time; I have so... Nov13-11 05:15 PM malenkylizard 0 1,016 Hello folks, I found a lovely little book online called A Geometric Approach to Differential Forms by David Bachman... Nov12-11 08:58 PM sponsoredwalk 175 45,895 Overview I've been struggling at this problem for about 3 days now. I've posted it on a couple forums will no... Nov11-11 11:58 PM Norpyx 1 872 I am writing a little code that should make an object revolve around a tilted axis. Here is what I have: -The... Nov9-11 07:39 PM chiro 2 1,430 In the next first suggested solution to the first problem the OP asked, shouldn't the paths \alpha, \alpha ' be from... Nov9-11 11:41 AM homeomorphic 1 1,033 Hi! I am looking for a dover book on differential geometry, but is hard to decide which ones to buy. I am trying to... Nov8-11 10:21 AM chhan92 8 3,212 Hi, I want to study differential topology by myself, and i am looking for a clear book that emphesizes also the... Nov7-11 05:30 PM hedipaldi 6 1,807 I have a few questions regarding the existence of a parametrization for a surface. Given the first fundamental form:... Nov6-11 03:15 PM TwilightTulip 0 934 I'm trying to create some kind of demo that rushes through a tunnel. I have made a random path generator that... Nov5-11 09:49 AM Tinyboss 1 1,194 I have a 3D shape described by a triangulation map i.e. a map between the vertices to the faces of the shape which are... Nov5-11 09:32 AM Tinyboss 1 1,343 So I've got this homework problem that I think I've found a counter-example to, so either my counter-example is wrong... Nov5-11 07:43 AM Jamma 13 1,814 So I have a sphere with radius r. I draw a quadrangle on it. Information i am given: arclengths of 2 sides of the... Nov5-11 05:20 AM Hyperian 0 1,209