What Is a Manifold?

In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.

Standing in the middle of a field, we can easily forget that we live on a round planet. We’re so small in comparison to the Earth that from our point of view, it looks flat. The world is full of such shapes — ones that look flat to an ant living on them, even though they might have a more complicated global structure. Mathematicians call these shapes manifolds. Introduced by Bernhard Riemann in…

Source

المصدر: المصدر الأصلي

{“@context”:”https://schema.org”,”@type”:”NewsArticle”,”headline”:”What Is a Manifold?”,”description”:”In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation for modern geometry and physics.

The post What Is a Manifold? first appeared on Quanta Magazine

“,”datePublished”:”2025-11-03 15:34:26″,”author”:{“@type”:”Organization”,”name”:”العربية”},”publisher”:{“@type”:”Organization”,”name”:”Newsly”,”url”:”http://wordpress-hr2d6.wasmer.app”},”image”:”https://www.quantamagazine.org/wp-content/uploads/2025/11/What-is-a-Manifold-cr-Mark-Belan-Default-2.webp”}