Quote:
inikaaaaaa kaže:
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Sad sam tek ovo vidio...
Dakle:
Diferencijalna geometrija (koja opisuje zakrivljenje multidimenzionalne mnogostrukosti, tj. prostora)
http://en.wikipedia.org/wiki/Differential_geometry
Tu nalazimo i ovo:
Initially and up to the middle of the nineteenth century, differential geometry was studied from the extrinsic point of view: curves and surfaces were considered as lying in a Euclidean space of higher dimension (for example a surface in an ambient space of three dimensions). The simplest results are those in the differential geometry of curves. Starting with the work of Riemann, the intrinsic point of view was developed, in which one cannot speak of moving 'outside' the geometric object because it is considered as given in a free-standing way.
The intrinsic point of view is more flexible. For example, it is useful in relativity where space-time cannot naturally be taken as extrinsic (what would be 'outside' it?). With the intrinsic point of view it is harder to define the central concept of curvature and other structures such as connections, so there is a price to pay.
These two points of view can be reconciled, i.e. the extrinsic geometry can be considered as a structure additional to the intrinsic one. (See the Nash embedding theorem.)
Kad smo kod
Nashovog teorema o umetanju to je, bar mi se čini, onaj što ga je riješio na prozoru koledža. John Nash je onaj "genijalni um" o kojem je snimljen istoimeni film.