Einstein, Riemann and the Space-Time Continuum
The general theory of relativity postulated by Albert Einstein (1879-1955) uses the concepts of Riemann geometry and an extra dimension, making a four-dimensional space called space-time. In general relativity, space-time is curved, with the degree of curvature increasing close to massive bodies. Curvature is produced by the interaction of mass-energy and momentum producing the phenomenon we know as gravity. Thus Einstein’s theory replaces the force of gravity familiar from Newtonian mechanics with multi-dimensional, non Euclidean geometry.
Einstein, Riemann y el continuo espacio-tiempo
Nota: el texto en inglés ha sido extraído del libro The Story of Mathematics, de Anne Rooney.