Geometry of hypersurfaces of a quarter symmetric non metric connection in a quasi-Sasakian manifold

Abstract

The purpose of the paper is to study the notion of CR-submanifold and the existence of some structures on a hypersurface of a quarter symmetric non metric connection in a quasi-Sasakian manifold. We study the existence of a Kahler structure on M and the existence of a globally metric frame f-structure in sence of Goldberg S.I., Yano K. We discuss the integrability of distributions on M and geometry of their leaves. We have tries to relate this result with those before obtained by Goldberg V., Rosca R. devoted to Sasakian manifold and conformal connections.

Authors and Affiliations

Sh. Rahman

Keywords

Related Articles

Hilbert polynomials of the algebras of SL2 -invariants

We consider one of the fundamental problems of classical invariant theory, the research of Hilbert polynomials for an algebra of invariants of Lie group SL2. Form of the Hilbert polynomials gives us important information...

Application of the functional calculus to solving of infinite dimensional heat equation

In this paper we study infinite dimensional heat equation associated with the Gross Laplacian. Using the functional calculus method, we obtain the solution of appropriate Cauchy problem in the space of polynomial ultradi...

Advancement on the study of growth analysis of differential polynomial and differential monomial in the light of slowly increasing functions

Study of the growth analysis of entire or meromorphic functions has generally been done through their Nevanlinna's characteristic function in comparison with those of exponential function. But if one is interested to com...

Metric on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$

It is known that every complex-valued homomorphism of the Fr\'{e}chet algebra $H_{bs}(L_\infty)$ of all entire symmetric functions of bounded type on the complex Banach space $L_\infty$ is a point-evaluation functional...

Extensions of multilinear mappings to powers of linear spaces

We consider the question of the possibility to recover a multilinear mapping from the restriction to the diagonal of its extension to a Cartesian power of a space.

Download PDF file
  • EP ID EP541921
  • DOI 10.15330/cmp.7.2.226-235
  • Views 68
  • Downloads 0

How To Cite

Sh. Rahman (2015). Geometry of hypersurfaces of a quarter symmetric non metric connection in a quasi-Sasakian manifold. Карпатські математичні публікації, 7(2), 226-235. https://www.europub.co.uk/articles/-A-541921