Definition:Riemannian Manifold/Also known as

Riemannian Manifold: Also known as

A Riemannian manifold is also known as a Riemannian space, or Riemann space.

Some sources use the term Riemannian geometry, although on $\mathsf{Pr} \infty \mathsf{fWiki}$ the term is used to refer to the mathematical branch that studies Riemannian manifolds.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Riemannian geometry
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Riemannian space (Riemann space)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Riemannian geometry
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Riemannian space (Riemann space)