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Additional
Riemannian geometry
English Wikipedia - The Free Encyclopedia
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Riemannian geometry
Riemannian geometry
is the branch of
differential geometry
that studies
Riemannian manifolds
,
smooth manifolds
with a
Riemannian metric
, i.e. with an
inner product
on the
tangent space
at each point that varies
smoothly
from point to point. This gives, in particular, local notions of
angle
,
length of curves
,
surface area
, and
volume
. From those some other global quantities can be derived by
integrating
local contributions.
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