Curved space often refers to a spatial geometry which is not “flat” where a flat space is described by Euclidean geometry. Curved spaces can generally be described by Riemannian geometry though some simple cases can be described in other ways. Curved spaces play an essential role in General Relativity where gravity is often visualized as curved space. The Friedmann-Lemaître-Robertson-Walker metric is a curved metric which forms the current foundation for the description of the expansion of space and shape of the universe.
Read more about Curved Space: Simple Two-dimensional Example, Embedding, Without Embedding, Open, Flat, Closed
Famous quotes containing the words curved and/or space:
“By constant dripping, water hollows stone,
A signet-ring from use alone grows thin,
And the curved plowshare by soft earth is worn.”
—Ovid (Publius Ovidius Naso)
“... the space left to freedom is very small. ... ends are inherent in human nature and the same for all.”
—Hannah Arendt (1906–1975)