Results 91 to 100 of about 2,097,491 (204)

“The philosophical principles of mathematics” : Elie Cartan, Henri Cartan and Jean Cavailles. [PDF]

, 2019
Writings by Elie Cartan and Henri Cartan on Cavailles are presented here, either in a first or new ...
Camille Akmut
core   +1 more source

Bouncing cosmologies in modified gravity with spacetime torsion

European Physical Journal C: Particles and Fields
We explore the possibility of realizing a non-singular bounce in the early universe within the framework of modified gravity with spacetime torsion. In Einstein Cartan theory, torsion is embedded in the spacetime by adding an antisymmetric part in affine
Sonej Alam, Somasri Sen, Soumitra Sengupta   +2 more
doaj   +1 more source

On a completely antisymmetric cartan torsion tensor

, 2007
We discuss the general structure of metric geometries, and how metricity implies the complete antisymmetry of Cartan tensor; an application in the frame of Lie group theory is given.
Fabbri L.
core  

Hamiltonian Flows of Curves in G/SO(N) and Vector Soliton Equations of mKdV and Sine-Gordon Type

Symmetry, Integrability and Geometry: Methods and Applications, 2006
The bi-Hamiltonian structure of the two known vector generalizations of the mKdV hierarchy of soliton equations is derived in a geometrical fashion from flows of non-stretching curves in Riemannian symmetric spaces G/SO(N).
Stephen C. Anco
doaj  

Cartan-Eilenberg categories and descent categories [PDF]

, 2009
Contents 1. Introduction 2. Remarks on localization of categories 3. Co¯brant objects 4. Cartan-Eilnberg categories 5. Minimal models: Sullivan categories 6. Models of functors 7.
Pascual Gainza, Pere
core  

Cartan: A Mathematica package for tensor computations

, 1995
CARTAN is an easy-to-use symbolic, tensor component package based on the popular Mathematica program. CARTAN makes use of the powerful formalism of rigid frames, and can return results both in this frame and in the coordinate basis. CARTAN has predefined
Soleng, Harald H.
core  

Time-fixed geometry of 2nd order ODEs

International Journal of Industrial Engineering and Production Research, 2007
: Let be a 2nd order ODE. By Cartan equivalence method, we will study the local equivalence problem under the transformations group of time-fixed coordinates.
M. Nadjafikhah, A.R. Forough
doaj  

A new look at Newton–Cartan gravity [PDF]

, 2016
We give a short overview of Newton–Cartan geometry and gravity including its matter couplings. We also present results on a new non-relativistic gravity model in three spacetime dimensions, called extended Bargmann gravity, and show that this model has ...
E. A. Bergshoeff, Bergshoeff, E. A., Rosseel, J., Rosseel, Jan, J. Rosseel   +4 more
core   +3 more sources

Cartan algebras and involutions

, 1994
We identify Cartan algebras in certain semidirect products and prove that every involution of a real Lie algebra leaves invariant some Cartan algebra. Moreover, we establish the adaptability of invariant Cartan algebras and invariant Levi decompositions ...
Karlheinz Spindler
core   +1 more source

Simultaneous Momentum and Position Measurement and the Instrumental Weyl-Heisenberg Group. [PDF]

Entropy (Basel), 2023
Jackson CS, Caves CM.
europepmc   +1 more source