What does the video say Riemannian geometry is about?

Conditions

• The definition is based on the introductory verbal description and title card in the clip.
• No formal mathematical definition is written out.

Reasoning, step by step

1. Identify the opening title card "RIEMANNIAN GEOMETRY".
2. Listen to the narration naming manifolds, Riemannian metric, and Riemannian curvature.
3. Observe the visual examples of curved wireframe surfaces.
4. Conclude that the topic concerns geometry on curved spaces.

Example

The narration says the subject is "called Riemannian geometry" and discusses manifolds, Riemannian metric, and Riemannian curvature, accompanied by four colored wireframe curved surfaces.

Common misconceptions

• Assuming that Riemannian geometry only applies to flat planes.
• Believing that the video provides a rigorous formal definition of Riemannian geometry.

Watch the explanation

Explore next

• Why does the video call the same geometry spherical or elliptical?
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