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Category: Issue 1

The curvatures of a congruence relative to another congruence of a complex finsler hypersurfac

U.S. Negi and Aparna Rawat
Department of Mathematics, H.N.B. Garhwal University, Campus Badshahi Thaul, Tehri Garhwal Uttarakand India

Email:- usnegi7@gmail.com

ABSTRACT:

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.

KEYWORDS: Complex Finsler Hypersurface, Congruence, Normal & Secondary curvature, Riemannian space


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...

Common fixed points of compatible maps of type (b) in probabilistic 2-metric space

Bijendra Singh*, Suman Jain** and Devesh Sagar***, M. L. Joshi****
*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

ABSTRACT:

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.

KEYWORDS: Probabilistic metric 2-space, common fixed point, compatible maps, semi-compatible maps, weak compatible maps. AMS Subject Classification : Primary 47H10, Secondary 54H25.


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...

Fixed point theorems in E-Convex Metric Spaces

S. Shyamala Malini1, P. Thangavelu1 and P. Jeyanthi2
1Department of Mathematics, Aditanar College, Tiruchendur India

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

Email:-ptvelu12@gmail.com

ABSTRACT:

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.

KEYWORDS: Fixed points, E-convex metric spaces and E-nonexpansive mappings. MSC 2010: 47H10


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...

Flow and heat transfer in three dimensional MHD Visco-elastic flow past a porous plate

RITA CHOUDHURY and KAMAL DEBNATH
Department of Mathematics, Gauhati University, Guwahati Assam India

Email:-rchoudhury66@yahoo.in

ABSTRACT:

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.

KEYWORDS: Key words: Visco-elastic, free convection, MHD, three dimensional flow. 2000 AMS Mathematics Subject classification: 76A05, 76A10


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...

Asymptotic behaviours of a steady two-dimensional boundary layer flow

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

Email:brijbhansingh@yahoo.com

ABSTRACT:

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.

KEYWORDS: Asymptotic behaviour, boundary layer flow


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...

Application of Rv-Difference bouquet graphs in selection of a subset of attributes in sensory profiling

1D. Kaja Mohaideen and 2R. Sattanathan
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

ABSTRACT:

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.

KEYWORDS: Rv-difference bouquet graphs, sensory profiling, maximum edge weight clique problem and first principal component.


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...

On Lorentzian trans-sasakian manifolds-I

S. S. PUJAR1 and V. J. KHAIRNAR2
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

ABSTRACT:

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.

KEYWORDS: trans-Sasakian


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...

Bianchi Type V Cosmological Model with Heat Conduction in General Relativity

Raj Bali, Pramila Kumawat and Shalini Sharma
Department of Mathematics, University of Rajasthan Jaipur India

ABSTRACT:

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.

KEYWORDS: Bianchi Type V


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,...

Direct projective modules over rings

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

ABSTRACT:

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.

KEYWORDS: Direct projective modules


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...