Riemannian manifold

名词 n.
中文释义

英文释义

名词 n.
  1. A real, smooth differentiable manifold whose each point has a tangent space equipped with a positive-definite inner product;
    — By definition, a Riemannian manifold M has at each point p a tangent space T#95;pM equipped with a positive-definite inner product, g#95;p; information about these inner products is encoded in the Riemannian metric tensor, g.
  2. A real, smooth differentiable manifold whose each point has a tangent space equipped with a positive-definite inner product; (more formally) an ordered pair (M, g), where M is a real, smooth differentiable manifold and g its Riemannian metric.; an ordered pair (M, g), where M is a real, smooth differentiable manifold and g its Riemannian metric.

词形变化

Riemannian manifolds plural

词源

Named after German mathematician Bernhard Riemann (1826–1866). See also Riemannian.
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