Search

In the present paper, some results on a Lorentzian Sasakian manifold endowed with a quarter-symmetric metric connection have been studied.

Riemannian maps are generalization of well-known notions of isometric immersions and Riemannian submersions. In this paper, we define and study a natural generalization of previously defined quasi bi-slant submersions [18] in the case of Riemannian maps. We mainly investigate fundamental results on quasi bi-slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds: the integrability of distributions, geometry of foliations, the condition for such maps to be totally geodesic, etc. At the end of the article, we give proper non-trivial examples for this notion. [ABSTRACT FROM AUTHOR]

We investigate the geometric properties of η∗-Ricci solitons on α-Lorentzian Sasakian (α-LS) manifolds, and show that a Ricci semisymmetric η∗-Ricci soliton on an α-LS manifold is an η∗-Einstein manifold. Further, we study ϕ∗-symmetric η∗-Ricci solitons on such manifolds. We prove that ϕ∗-Ricci symmetric η∗-Ricci solitons on an α-LS manifold are also η∗-Einstein manifolds and provide an example of a 3-dimensional α-LS manifold for the existence of such solitons. [ABSTRACT FROM AUTHOR]

The aim of the present article is to study and investigate the geometric properties of ῆ-Ricci solitons on three-dimensional quasi-para-Sasakian manifolds. In this manner, we obtain results for Codazzi type of the Ricci tensor, ...-conformally semi-symmetric, ...-Ricci symmetric and conformally Ricci semi-symmetric ῆ-Ricci solitons on three dimensional quasi-para-Sasakian manifolds. Finally, an example of ῆ-Ricci soliton on three-dimensional quasi-para-Sasakian manifold is given. [ABSTRACT FROM AUTHOR]

The paper deals with eta star Ricci solitons on Sasakian manifolds. In this paper, we study and investigate the geometric properties of eta star Ricci solitons on such manifolds and also provide an example of such solitons on five dimensional Sasakian manifold. [ABSTRACT FROM AUTHOR]

The objective of present research article is to investigate the geometric properties of η-Ricci solitons on Lorentzian para-Kenmotsu manifolds. In this manner, we consider η-Ricci solitons on Lorentzian para-Kenmotsu manifolds satisfying RS = 0. Further, we obtain results for η-Ricci solitons on Lorentzian para-Kenmotsu manifolds with quasi-conformally at property. Moreover, we get results for η-Ricci solitons in Lorentzian para-Kenmotsu manifolds admitting Codazzi type of Ricci tensor and cyclic parallel Ricci tensor, η-quasi-conformally semi-symmetric, η-Ricci symmetric and quasi-conformally Ricci semi-symmetric. At last, we construct an example of a such manifold which justify the existence of proper η-Ricci solitons. [ABSTRACT FROM AUTHOR]

In this paper, we introduce hemi-slant Riemannian maps from almost contact metric manifolds into Riemannian manifolds as a generalization of anti-invariant Riemannian maps, semi-invariant Riemannian maps and slant Riemannian maps from almost contact metric manifolds into Riemannian manifolds. Further, we obtain necessary and sufficient conditions for integrability of distributions which are involved in the definition of hemi-slant Riemannian maps and study the geometry of leaves. After it, we investigate the necessary and sufficient condition for hemi-slant Riemannian maps to be totally geodesic and harmonic. Finally, we obtain a characterization theorem for the proper hemi-slant Riemannian maps from Sasakian manifolds to Riemannian manifolds with totally umbilical fibers and also we provide some examples of such maps. [ABSTRACT FROM AUTHOR]

In this paper, we study pseudo-slant submanifolds of a Sasakian manifold. We find some results and investigate the integrability conditions of distributions which are involved in the definition of pseudo-slant submanifolds. Finally, we obtain the necessary and sufficient condition for a pseudo-slant submanifold to be pseudo-slant product. [ABSTRACT FROM AUTHOR]

In this paper, we introduce semi-slant Riemannian maps from almost contact manifolds to Riemannian manifolds. We study the integrability of distributions and the geometry of fibers. Moreover, we find the necessary and sufficient condition for semi-slant Riemannian maps to be totally geodesic and investigate the harmonicity of semi-slant Riemannian maps from Kenmotsu manifolds to Riemannian manifolds. Finally, we obtain decomposition theorem of semi-slant Riemannian maps from Kenmotsu manifolds to Riemannian manifolds. We also provide some examples of such maps. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to study a totally contact umbilical contact CR-lightlike submanifolds of an indefinite para-Sasakian manifold. In this paper, we prove that a totally contact umbilical CR-lightlike submanifold is totally contact geodesic. Further, we obtain a necessary and sufficient condition for a CR-lightlike submanifold to be anti-invariant submanifold. Finally, we obtain the integrability condition of distributions and also characterize a contact CR-lightlike submanifold of indefinite para-Sasakian manifold to be a contact CR-lightlike product. [ABSTRACT FROM AUTHOR]

This paper intends to analyse the concept of human rights as applicable to women and its ambiguous implementation towards them. Though women, in the progress of civilizations, have never been behind men, their identity as equal human-being has always been discarded across the societies and nations. This approach towards women's rights has made the basic idea of human rights complicated and disapproves its uniformity. They are wretchedly treated in every sphere of life, from birth to death. A number of socio-cultural norms are affixed with their personality and make them bound to follow these practices. Though efforts have been made at global and regional level to recognise women's rights as human rights, they are still compelled to live a life of disgrace. The Beijing, Declaration and Platform for Action has proved a milestone to address the women's problem and identified twelve major areas and established a framework for way ahead. The paper has tried to explore, whether the platform set by Beijing declaration has been able to serve the purpose or women rights remain a distant dream. [ABSTRACT FROM AUTHOR]

Previous studies generally find mixed empirical evidence on the relationship between transportation- communication infrastructure investment and economic growth. In this paper, we re-examine the causal relationship between transportation- communication infrastructure investment and economic growth by panel Granger causality test and by utilizing a richer panel data set that includes 34- OECD countries over the period 1960-2012. Our empirical findings strongly support the existence of cointegration between transportation- communication infrastructure investment and economic growth in the long run and have bidirectional Granger causality effects. [ABSTRACT FROM AUTHOR]

Facial region is drained by the maxillary, facial and superficial temporal veins. In the present case, retromandibular venous junction divided into anterior and posterior divisions immediately after its formation and a common venous channel was formed between internal jugular and anterior jugular veins where facial, lingual and submental veins drained.