Riemannian manifold
短语词形变化
释义与例句
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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.
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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.
词源
Named after German mathematician Bernhard Riemann (1826–1866). See also Riemannian.
来源：wiktionary