Papers

Department of Mathematics, H.N.B. Garhwal University, Campus Badshahi Thaul, Tehri Garhwal Uttarakand India

Email:- usnegi7@gmail.com

 Hsiao¹ has studied Normal curvature of curve relative to another congruence, Prakash⁴ has studied Kaehlerian Finsler Manifolds.Further, Upadhyay⁷ has studied Geodesic torsion of a congruence, Singh and Negi ¹³ have studied on relative associated curvature of a vector field in Techibana spaces. Also P.Mann. Wrong (2007) has studied a survey of complex finsler geometry. In the present paper, we have defined and studied curvature of a congruence relative to another congruence and some particular cases.

*School of Studies in Mathematics, Vikram University, Ujjain MP India

**Department of Mathematics, Govt. College, Badnagar MP India

***Department of Mathematics, Govt. Girl's College Neemuch MP India

****Department of Mathematics, M and NVirani Science College Rajkot Gujarat India

Email:-mljoshi@yahoo.co.in

The aim of the present paper is to prove a common fixed point theorem for six self mappings in probabilistic 2-metric space using the concept of compatible maps of type (b) which generalizes and extends the result of Singh and Jain⁹.

Department of Mathematics P.E.S College of Engineeering

Email:-prof.puttaswamy@gmail.com

This paper is concerned with the total number of minimum efficient dominating sets in paths and cycles.

¹Department of Mathematics, Aditanar College, Tiruchendur India

²Department of Mathematics, Govindammal Aditanar Colege for Women Tiruchendur India

Email:-ptvelu12@gmail.com

Wataru Takahashi introduced a convex structure in metric spaces and formulated some fixed point theorems for nonexpansive mappings. Youness introduced the concept of E-convex sets in Rⁿ. Sheiba Grace and Thangavelu discussed the algebraic properties of E-convex sets. The purpose of this paper is to introduce an E-convexity in metric spaces and to formulate some fixed point theorems in E- convex metric spaces.

Department of Mathematics, Gauhati University, Guwahati Assam India

Email:-rchoudhury66@yahoo.in

An analysis of the free convection visco-elastic flow and heat transfer along an infinite porous vertical plate with sinusoidal suction at the wall and uniform magnetic field applied parallel to the plate has been studied. The flow becomes three dimensional due to this type of suction velocity. The mathematical analysis is presented for the hydrodynamic boundary layer flow without taking into account the induced magnetic field. For the asymptotic flow condition the component of the plate skin friction along the main flow direction and the rate of heat transfer are obtained to observe the visco-elastic effects. The shear stress along the flow direction has been presented graphically for various values of visco-elastic parameter with the combination of other flow parameters.

Department of Mathematics, Dr. bdasaheb Ambedkar Technological University, Lonere-DistRaigad M.S. India

Email:brijbhansingh@yahoo.com

The objective of the present paper is to study the asymptotic behaviours of the solutions, as the similarity variable h®¥, of the Falkner-Skan equation governing a two-dimensional steady flow in a boundary layer; the results being based on the asymptotic integrations of second order linear differential equations. The results pertaining to the asymptotic behaviours have been expressed in terms of theorems.

¹Asst Prof. in Mathematics, The New College, Chennai India

²Head, P.G Department of Mathematics, D.G. Vaishnov College, Arumbakkam Chennai India.

Email:- muththakikaja@yahoo.co.in

Sensory profiling is the process during which a panel of researchers score several attributes on a number of products to be compared and Reducing the list of variables is an important step in the process of sensory profiling. The reduced set can be used for saving fatigue and time of the members of research panel. In this paper, we propose a method based on Rv-difference bouquet graph introduced in¹, maximum edge weight clique problem and principal component analysis to select a subset of heterogeneous variables. We constrain ourselves with so many cases in which first principal component account to 90% total variance. We present the evidences for the suitability of the method for the cases in which large number of variables are considered.

¹Department of Mathematics, K.K. Wagh Institute of Engineering Education and Research Nashik M.S India

²N.V.P mandal's Arts, Commerece & Science College Lasalgaon Nashik M.S.India

Email:-drsspujar@rediffmail.com

The purpose of the paper is to introduce the trans-Sasakian structure on Lorentzian manifolds and study its basic formulas which are used to establish some of the properties of Lorentzian trans-Sasakian manifolds. In this paper, we study the properties of quasi-conformally and conformally flat Lorentzian trans-Sasakian manifolds. In fact, we obtain a condition for quasi-conformally flat Lorentzian Trans Sasakian Manifold to be constant sectional curvature, and also showed that manifold is h- Einstein. We also study the geometry of Lorentzian trans-Sasakian manifold satisfying R(X, Y). P=0, R(X,Y) .N =0and C = 0.

Department of Mathematics, University of Rajasthan Jaipur India

Bianchi Type V cosmological model with heat conduction in General Relativity is investigated. To get the deterministic model, we assume a supplementary condition A = (BC)ⁿ between metric potentials A, B and C where n is a constant. Some thermodynamic relations and physical aspects of the model related with astronomical observations are discussed. The singularities in the model are also discussed.

Department of Mathematics Rama Institute of Engineering and Technology Mandhana Kanpur UP India

 Baer Rings and P. P rings are characterised by the behaviour of direct projective over them. A characterization of C. P module in terms of direct projective has been provided and it is obtained that the total quotient ring is regular over direct projective. Prufer rings and Semiheriditary rings are also characterised.