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fundamental tensor

См. также в других словарях:

  • fundamental tensor — pagrindinis tenzorius statusas T sritis fizika atitikmenys: angl. fundamental tensor vok. Fundamentaltensor, m rus. фундаментальный тензор, m pranc. tenseur fondamental, m …   Fizikos terminų žodynas

  • Tensor — For other uses, see Tensor (disambiguation). Note that in common usage, the term tensor is also used to refer to a tensor field. Stress, a second order tensor. The tensor s components, in a three dimensional Cartesian coordinate system, form the… …   Wikipedia

  • Fundamental theorem of Riemannian geometry — In Riemannian geometry, the fundamental theorem of Riemannian geometry states that on any Riemannian manifold (or pseudo Riemannian manifold) there is a unique torsion free metric connection, called the Levi Civita connection of the given metric …   Wikipedia

  • Fundamental representation — In representation theory of Lie groups and Lie algebras, a fundamental representation is an irreducible finite dimensional representation of a semisimple Lie groupor Lie algebra whose highest weight is a fundamental weight. For example, the… …   Wikipedia

  • Tensor de Ricci — En geometría diferencial, el tensor de curvatura de Ricci o simplemente, tensor de Ricci, que suele notarse por los símbolos Rab o Ric, es un tensor simétrico bivalente obtenido como una traza del tensor de curvatura, que, como aquel, puede… …   Wikipedia Español

  • Fundamental matrix (computer vision) — In computer vision, the fundamental matrix mathbf{F} is a 3 imes 3 matrix of rank 2 which relates corresponding points in stereo images. In epipolar geometry, with homogeneous image coordinates mathbf{y 1} and mathbf{y 2} of corresponding points… …   Wikipedia

  • Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …   Wikipedia

  • Torsion tensor — In differential geometry, the notion of torsion is a manner of characterizing a twist or screw of a moving frame around a curve. The torsion of a curve, as it appears in the Frenet Serret formulas, for instance, quantifies the twist of a curve… …   Wikipedia

  • Second fundamental form — In differential geometry, the second fundamental form is a quadratic form on the tangent plane of a smooth surface in the three dimensional Euclidean space, usually denoted by II. Together with the first fundamental form, it serves to define… …   Wikipedia

  • First fundamental form — In differential geometry, the first fundamental form is the inner product on the tangent space of a surface in three dimensional Euclidean space which is induced canonically from the dot product of R 3 . It permits the calculation of curvature… …   Wikipedia

  • Metric tensor (general relativity) — This article is about metrics in general relativity. For a discussion of metrics in general, see metric tensor. Metric tensor of spacetime in general relativity written as a matrix. In general relativity, the metric tensor (or simply, the metric) …   Wikipedia

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