Levi-Civita-Symbol
121Pseudotensordichte — Der Begriff Pseudotensordichte bezeichnet eine Menge von Zahlen, deren Wert von der gewählten Basis eines Vektorraums abhängt. Dabei genügt diese Abhängigkeit bei einem Basiswechsel ähnlichen Transformationsformeln, wie sie für die Komponenten… …
122Christoffel symbols — In mathematics and physics, the Christoffel symbols, named for Elwin Bruno Christoffel (1829–1900), are numerical arrays of real numbers that describe, in coordinates, the effects of parallel transport in curved surfaces and, more generally,… …
123Tensoranalysis — Die Tensoranalysis oder Tensoranalyse ist ein Teilgebiet der Differentialgeometrie beziehungsweise der Differentialtopologie. Sie verallgemeinert die Vektoranalysis. Zum Beispiel kann der Differentialoperator Rotation in diesem Kontext auf n… …
124Einstein–Cartan theory — in theoretical physics extends general relativity to correctly handle spin angular momentum. As the master theory of classical physics general relativity has one known flaw: it cannot describe spin orbit coupling , i.e., exchange of intrinsic… …
125Weitzenböck identity — In mathematics, in particular in differential geometry, mathematical physics, and representation theory a Weitzenbock identity expresses a relationship between two second order elliptic operators on a manifold with the same leading symbol.… …
126Surreal number — In mathematics, the surreal number system is an arithmetic continuum containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number. The surreals share… …
127Contorsion tensor — The contorsion tensor in differential geometry expresses the difference between a metric compatible affine connection with Christoffel symbol Γijk and the unique torsion free Levi Civita connection for the same metric. The contortion tensor is… …
128Metric 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) …
