Riemannian manifold

Summary

Riemannian manifold is a mathematical concept^[1]. It ranks in the top 4% of mathematical_concept entities by monthly Wikipedia readership (1,584 views/month).^[2]

Key Facts

• Riemannian manifold's instance of is recorded as mathematical concept^[3].
• Bernhard Riemann is named after Riemannian manifold^[4].
• Riemannian manifold is a type of pseudo-Riemannian manifold^[5].
• Riemannian manifold is a type of Finsler manifold^[6].
• Riemannian manifold's said to be the same as is recorded as Q25514259^[7].
• Riemannian manifold comprises differentiable manifold^[8].
• Riemannian manifold comprises metric tensor^[9].
• Riemannian manifold's topic's main category is recorded as Category:Riemannian manifolds^[10].
• Riemannian manifold's has characteristic is recorded as curvature of Riemannian manifolds^[11].
• Riemannian manifold's different from is recorded as Riemann surface^[12].
• Riemannian manifold's maintained by WikiProject is recorded as WikiProject Mathematics^[13].

Body

Definition and Type

Riemannian manifold's instance of is recorded as mathematical concept^[3]. Recorded subclass of include pseudo-It^[5] and Finsler manifold^[6].

Origins

Bernhard Riemann is named after Riemannian manifold^[4].

Use and Application

Components include differentiable manifold^[8] and metric tensor^[9].

Why It Matters

Riemannian manifold ranks in the top 4% of mathematical_concept entities by monthly Wikipedia readership (1,584 views/month).^[2] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.^[14] It is known by 25 alternative names across languages and contexts.^[15]