| NOUN | a fundamental tensor | fundamental tensors |
NOUN article.ind sg | pl
21 Übersetzungen
Neue Wörterbuch-Abfrage: Einfach jetzt tippen!
Anwendungsbeispiele Englisch
weitere Beispiele ...
- They had identified local invariants distinguishing two such structures, analogous to prior work identifying the Riemann curvature tensor and its covariant derivatives as fundamental invariants of a Riemannian metric.
- In 1962, Lanczos showed that the Weyl tensor, which plays a fundamental role in general relativity, can be obtained from a tensor potential that is now called the Lanczos potential.
- Properties of the continuum problem commonly imitated by numerical methods are conservation laws, solution symmetries, and fundamental identities and theorems of vector and tensor calculus like the divergence theorem.
- The fundamental objects are called the Riemannian metric and the Riemann curvature tensor.
- An extension of the fundamental theorem states that given a pseudo-Riemannian manifold there is a unique connection preserving the metric tensor, with any given vector-valued 2-form as its torsion.
- Hamilton later adapted his Li–Yau estimate for the Ricci flow to the setting of the mean curvature flow, which is slightly simpler since the geometry is governed by the second fundamental form, which has a simpler structure than the Riemann curvature tensor.
- In mathematics and theoretical physics, a bifundamental representation is a representation obtained as a tensor product of two fundamental or antifundamental representations.
- He introduced fundamental concepts of differential geometry, opening the way for the development of tensor calculus, which would later provide the mathematical basis for general relativity.
- This can be seen as integrating a Riemannian volume form on the parameterized surface, where the metric tensor is given by the first fundamental form of the surface.
- First fundamental form for an embedding or immersion is the pullback of the metric tensor.
- In differential geometry, the second fundamental form (or shape tensor) is a quadratic form on the tangent plane of a smooth surface in the three-dimensional Euclidean space, usually denoted by [...] (read "two").
- This decomposition is of fundamental importance in Riemannian and pseudo-Riemannian geometry.
- The collaboration of Einstein and Grossmann led to a ground-breaking paper: "Outline of a Generalized Theory of Relativity and of a Theory of Gravitation", which was published in 1913 and was one of the two fundamental papers which established Einstein's theory of gravity.
- He also shared the hope that an improved fundamental theory would explain why the two elementary particles then known (proton and electron) have quite different masses.
- The fundamental problem in stress analysis is to determine the distribution of internal stresses throughout the system, given the external forces that are acting on it.
- For example, the dual bundle of "E" is given by F("E") ×ρ* (R"k")* where ρ* is the dual of the fundamental representation.
- are fundamental in general relativity. Not every smooth manifold can be given a (non-Riemannian) pseudo-Riemannian structure; there are topological restrictions on doing so.
© dict.cc English-German dictionary 2024
Enthält Übersetzungen von der TU Chemnitz sowie aus Mr Honey's Business Dictionary (nur Englisch/Deutsch).
Links auf das Wörterbuch oder auch auf einzelne Übersetzungen sind immer herzlich willkommen!