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Diffstat (limited to 'math')
| -rw-r--r-- | math/tensors.page | 8 |
1 files changed, 4 insertions, 4 deletions
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:`$\delta P / \delta \zeta \equiv \lim_{\Delta \zeta \rightarrow 0} \frac{ \vector{ Q(\zeta+\delta \zeta) - Q(\zeta) } }{\delta \zeta}$`) |