2003-06-28

D&G- Riemannian spaces


p485
"""
"Riemann spaces are devoid of any kind of homogeneity. Each is characterized by
the form of the expression that defines the square of the distance between two
infinitely proximate points. ... It follows that two neighboring observers in a
Riemann space can locate the points in their immediate vicinity but cannot
locate their spaces in relation to each other without a new convention. Each
vicinity is like a shred of Euclidean space, <i>but the linkage between one
vicinity and the next is not defined and can be effected in an infinite number
of ways. Riemann space at its most general thus presents itself as an amorphous
collection of pieces that are juxtaposed by not attached to each other.</i>"
"""

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