From 8e53d0a8e1e3b3c0ff995229659f79e2575538d6 Mon Sep 17 00:00:00 2001 From: bnewbold Date: Mon, 19 Oct 2009 04:47:25 +0000 Subject: fixy, PARTIAL --- math/tensors.page | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) (limited to 'math') diff --git a/math/tensors.page b/math/tensors.page index d46810e..e1d24fc 100644 --- a/math/tensors.page +++ b/math/tensors.page @@ -1,14 +1,14 @@ -============================================ + + Tensors, Differential Geometry, Manifolds ============================================ -.. note:: Most of this content is based on a 2002 Caltech course taught by - Kip Thorn [PH237]_ +Most of this content is based on a 2002 Caltech course taught by Kip Thorn (PH237). On a manifold, only "short" vectors exist. Longer vectors are in a space tangent to the manifold. -There are points (:m:$P$), separation vectors (:m:$\Delta \vector P$), +There are points ($P$), separation vectors ($\Delta \vector P$), curves (:m:$Q(\zeta)$), tangent vectors (:m:$\delta P / \delta \zeta \equiv \lim_{\Delta \zeta \rightarrow 0} \frac{ \vector{ Q(\zeta+\delta \zeta) - Q(\zeta) } }{\delta \zeta}$) -- cgit v1.2.1