If space has negative curvature, there is insufficient mass to cause the expansion of the universe to stop. In such a case, the universe has no bounds, and will expand forever. This is called an open universe.
But the observations allow for either a positive or negative curvature, and this range includes the flat Universe with infinite radius of curvature. The negatively curved space is also infinite in volume even though it is curved.
I suppose if there is positive curvature, there must also be negative curvature. This Universe is rather strange in that it is shaped like a saddle or a Pringles potato chip.
Astronomers are finding that even when they include the maximum amount of dark matter allowed by the observations, there is not enough matter (luminous or dark) to flatten the universe---the universe is open with negative curvature if the ...
It has negative curvature. Most people have a good idea of what a saddle looks like---it curves "up" in one direction and "down" in another, but no one has ever seen a uniformly negatively curved surface, ...
A three-dimensional space whose geometry resembles that of a saddle-shaped surface and is said to have negative curvature. [Silk90]
Hypercharge
Twice the charge of a charge multiplet (q.v.). [H76]
Hyperdimensional ...
k=0 means that the 3-space t=constant is Euclidean (q0=1/2)
k=+1 is closed, with positive curvature (q0 > 1/2)
k=-1 is open with negative curvature (q0 < 1/2).
Friedmann's 1924 papers included "Uber die Moglichkeit einer Welt mit konstanter negativer Krummung des Raumes" (About the possibility of a world with constant negative curvature) which was published by the Berlin Academy of Sciences on 7 January ...
Euclidean geometry is a mathematical system attributed to the Greek mathematics Euclid of Alexandria. Euclid's Elements is the earliest known systematic discussion of geometry....
, or spaces of positive or negative curvature
Curvature ...
 See also: Universe, Mass, Galaxies, Time, Spacetime
  
|
RSS
