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1) There are three types of homogeneous curved spaces - positively curved, negatively curved, and flat. Positively curved spaces have a metric defined by a unitary matrix like a sphere, negatively curved spaces have a non-unitary metric, and flat spaces can be defined by a unitary or non-unitary metric like planes. 2) The geometry of a space is described by its metric tensor, which defines the distance between any two nearby points. Changing coordinates alters the metric tensor components but not the unde

Author

Jpl

Language

EN