Outrageously Funny Word Dictionary :: Riemannian

👉 In mathematics and theoretical physics, a Riemannian manifold is a mathematical structure that can be used to describe the geometry of space. It consists of points (or "points") in a Euclidean space equipped with an inner product which allows us to define distances between them. A Riemannian manifold has two main properties: it must be locally isometric, meaning that given any point x and any line L in M, there exists a unique curve γ such that the endpoints of L are

riemannian

👉 Riemannian is a mathematical concept in differential geometry that refers to a manifold (a set of points and lines) equipped with an inner product on its tangent space. This inner product is used to define metrics, which are functions that measure length and angle between vectors. The term "riemannnean" can be interpreted as referring to the inner product of this inner product defined on the tangent space with itself. In other words, it means that the manifold has a natural metric where the length

riemannean