Linguistic Note
4
Grassmann Manifold
TANAKA Akio
Natural number m, n m > n
m-dimensional real vector space Rm
n-dimensional linear subspace G R ( m, n ) is called Grassmann manifold.
m = 2, n = 1 G R ( 2, 1 ) = S1
Generally G R ( m, n ) = G R ( m, m-n )
[Note]
Now 2 dimensions express <space> dimension and <time> dimension, S1 expresses 1 dimensional spacetime by circumference.
[Reference]
Cell Theory From Cell to Manifold Tokyo June 2, 2007
Tokyo July 21, 2007
Sekinan Research Field of Language
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