How The Life Begin

Universe with negative curvature A hyperbolic universe, one of a negative spatial curvature, is described by  hyperbolic geometry , and can be thought of locally as a three-dimensional analog of an infinitely extended saddle shape. There are a great variety of  hyperbolic 3-manifolds , and their classification is not completely understood. Those of finite volume can be understood via the  Mostow rigidity theorem . For hyperbolic local geometry, many of the possible three-dimensional spaces are informally called "horn topologies", so called because of the shape of the  pseudosphere , a canonical model of hyperbolic geometry. An example is the  Picard horn , a negatively curved space, colloquially described as "funnel-shaped".