Examples of 'cartan' in a sentence
Meaning of "cartan"
Cartan is a term in mathematics that refers to a type of differential form used in differential geometry. It is named after the French mathematician Élie Cartan
How to use "cartan" in a sentence
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cartan
Cartan connections describe the geometry of manifolds modelled on homogeneous spaces.
He also took part in the Cartan seminar.
We investigate Cartan subalgebras in such amalgamated free products.
This generic condition is characteristic of Cartan connections.
Here the associated Cartan connection is the conformal connection.
The labelling of these spaces is the one given by Cartan.
Cartan Connections treats conformal and projective connections in a unified manner.
The whole work is formulated in the language of Cartan geometry.
Cartan is a small lunar crater near the eastern edge of the Moon.
This was to attack questions posed to him by Élie Cartan.
The Cartan seminar writes up sheaf theory for the first time.
The answer uses Cartan geometry.
The Cartan formula can be used as a definition of the Lie derivative of a differential form.
The modern notion of differential forms was pioneered by Élie Cartan.
The dimension of the Cartan distribution grows with the order of the jet space.
See also
This construction is due to Cartan.
The Cartan condition ensures that the distinguished section a always moves under parallel transport.
Matrix coefficients of representations of Lie groups were first considered by Élie Cartan.
Thus Cartan geometries are deformed analogues of Klein geometries.
This proof is likely due to Élie Cartan.
The Cartan model in algebra is named after Cartan.
List of things named after Élie Cartan.
It is also called Cartan homotopy formula or Cartan magic formula.
They were first classified by Élie Cartan.
A Cartan subgroup of a compact connected Lie group is a maximal connected Abelian subgroup a maximal torus.
Hyperbolic group Cartan subgroup Mirabolic subgroup.
Cartan taught at the Lycée Caen.
He was influenced by Henri Cartan and the Bourbaki writers.
The Cartan homotopy formula is named after Élie Cartan.
All of these are named after the French mathematician Élie Cartan.
And their Cartan distribution.
This was done by Élie Cartan.
The Cartan exterior.
Ehresmann connections were, strictly speaking, not a generalization of Cartan connections.
Count Cartan was relieved.
Affine space is a geometry in this sense, and is equipped with a flat Cartan connection.
Is the Cartan subgroup.
Cartan added the exterior derivative, as an entirely geometric and coordinate-independent operation.
It follows by a theorem of Élie Cartan that the image of G is a Lie group also.
Cartan later corrected this mistake, by showing Killing 's two root systems were isomorphic.
In mathematics, the term Cartan matrix has three meanings.
In the first part, we study the coordinates of the eigenvectors of the Cartan matrices.
As the twentieth century progressed, Élie Cartan developed a new notion of connection.
The simplest and most natural theory of gravity with torsion is the Einstein - Cartan theory.
Over the field of two elements, the Cartan subgroup is trivial in this example.
This corresponds to the case with a nonzero spin tensor in Einstein - Cartan gravity theory.
Furthermore Evans derived from Cartan geometry a wave equation, which is in principle a nonlinear eigenvalue equation.
Finally, we present a recent work which consists in combining Cartan geometry and transitive Lie algebroids.
The complete picture, unifying electromagnetism with gravitation, requires both Riemann curvature and Cartan torsion.
Note that for rank 2, all negative determinant Cartan matrices correspond to hyperbolic Coxeter group.
