Schur's Lemma (From Riemannian Geometry)

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High Quality Content by WIKIPEDIA articles! In Riemannian geometry, a Riemannian manifold or Riemannian space (M,g) is a real differentiable manifold M in which each tangent space is equipped with an inner product g, a Riemannian metric, in a manner which varies smoothly from point to point. The metric g is a positive definite symmetric tensor: a metric tensor. This allows one to define various notions such as angles, lengths of curves, areas (or volumes), curvature, gradients of functions and divergence of vector fields. In other words, a Riemannian manifold is a differentiable manifold in which the tangent space at each point is a finite-dimensional Euclidean space. The terms are named after German mathematician Bernhard Riemann.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131173240
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131173240
    • Format Fachbuch
    • Titel Schur's Lemma (From Riemannian Geometry)
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 100
    • Genre Mathematik

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