In this work, we study direct limits of finite dimensional basic classical simple Lie superalgebras and obtain the conjugacy classes of Cartan subalgebras under the group of automorphisms.

We analyze the stability of geodesic curves in geometry Gibbons–Maeda–Garfinkle–Horowitz–Strominger black hole, describing space time a charged hole low energy limit string theory. The analysis is performed by using both linear (Lyapunov) method, as well notion Jacobi stability, based on Kosambi–Cartan–Chern Brief reviews two methods are also presented. After obtaining equations spherical symme...

This article studies the effects of an arbitrary dark matter spin tensor on propagation gravitational wave amplitude in context Einstein–Cartan theory. We choose to work with because, given our ignorance nature matter, it is sensible not make further hypotheses its and assume any particular model for (or vanishing). The analysis focuses a “weak-torsion regime”, such that emission, at leading su...

In this paper, we establish a deformation theory for Dolbeault cohomology classes valued in holomorphic tensor bundles. We prove the extension equation which will play role of Maurer–Cartan equation. Following classical Kodaira–Spencer–Kuranishi, construct canonical complete family deformations by using power series method. also simple relation between existence and varying dimensions cohomolog...

We present a gauge formulation of the special affine algebra extended to include an antisymmetric tensorial generator belonging tensor representation linear group. then obtain Maxwell modified metric gravity action with cosmological constant term. find field equations theory and show that reduces Einstein-like equation for source added \mu contains contributions from new fields. The reduction R...

Basic properties of the nuclear tensor mean fields are reviewed, and their role in changing the shell structure and masses of nuclei is analyzed within the spherical Hartree-Fock-Bogolyubov approach.

It is shown that the classification theorems for semisimple algebraic groups in characteristic zero can be derived quite simply and naturally from the corresponding theorems for Lie algebras by using a little of the theory of tensor categories. This article is extracted from Milne 2007. Introduction The classical approach to classifying the semisimple algebraic groups over C (see Borel 1975, §1...