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- etimología
Qué (quién) es Riemannian geometry - definición
Riemannian geometry
BRANCH OF DIFFERENTIAL GEOMETRY DEALING WITH (GENERALIZED) RIEMANNIAN MANIFOLDS
Riemann geometry; Riemannian differential geometry; Reimannian geometry; Riemannian space; Riemannian Geometry
Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e.
Fundamental theorem of Riemannian geometry
UNIQUE EXISTENCE OF THE LEVI-CIVITA CONNECTION
Fundamental theorem of riemannian geometry; Koszul formula
In the mathematical field of Riemannian geometry, the fundamental theorem of Riemannian geometry states that on any Riemannian manifold (or pseudo-Riemannian manifold) there is a unique affine connection which is torsion-free and metric-compatible, called the Levi-Civita connection or Riemannian connection of the given metric. Because it is canonically defined by such properties, often this connection is automatically used when given a metric.
List of formulas in Riemannian geometry
WIKIMEDIA LIST ARTICLE
Riemannian geometry cheat sheet; List of formulas in riemannian geometry
This is a list of formulas encountered in Riemannian geometry. Einstein notation is used throughout this article.
