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About
Gauss-Bonnet theorem
(Theorem)
If
is a
compact
,
orientable
surface
without
boundary
, then
where
is the
Gaussian curvature
of
and
its
Euler-Poincaré characteristic.
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"Gauss-Bonnet theorem" is owned by
Simone
.
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Cross-references:
Gaussian curvature
,
boundary
,
surface
,
orientable
,
compact
There are
4 references
to this entry.
This is
version 4
of
Gauss-Bonnet theorem
, born on 2007-01-26, modified 2007-04-28.
Object id is
8824
, canonical name is
GaussBonetTheorem
.
Accessed 1037 times total.
Classification:
AMS MSC
:
53A05
(Differential geometry :: Classical differential geometry :: Surfaces in Euclidean space)
Pending Errata and Addenda
None.
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Duplicate
by
PrimeFan
on 2007-01-26 17:04:22
This is a duplicate of the much-maligned object 8807, which has pretty much the same content plus slightly more detail.
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Re: Duplicate
by Simone
on 2007-01-27 05:24:24
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