In this paper we study an anisotropic model of space – time with Finslerian metric. The observed anisotropy of the microwave background radiation is incorporated in the Finslerian metric of space time.
In this paper, we generalize a known theorem under more weaker conditions
dealing with the generalized absolute Ces?ro summability factors of
infinite series by using quasi monotone sequences and quasi power increasing
sequences. This theorem also includes some new results.
In this paper we study the complex indicatrix associated to a complex
Finsler space as an embedded CR - hypersurface of the holomorphic tangent
bundle, considered in a fixed point. Following the study of CR -
submanifolds of a K?hler manifold, there are investigated some properties
of the complex indicatrix as a real submanifold of codimension one, using
the submanifold formulae and the fundamental equations. As a result, the
complex indicatrix is an extrinsic sphere of the holomorphic tangent space
in each fibre of a complex Finsler bundle. Also, submersions from the
complex indicatrix onto an almost Hermitian manifold and some properties
that can occur on them are studied. As application, an explicit submersion
onto the complex projective space is provided.
The Rouquier blocks of the cyclotomic Hecke algebras, introduced by Rouquier, are a substitute for the families of characters defined by Lusztig for Weyl groups, which can be applied to all complex reflection groups. In this article, we determine them for the cyclotomic Hecke algebras of the groups of the infinite seriesG(de, e, r), thus completing their calculation for all complex reflection groups.