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Category: Issue 2

Riemannian manifold without putting any restriction on scalar curvature admitting a projective vector field

S.N. KADLAG1 and S.B. GAIKWAD2

ABSTRACT:

The purpose of present paper is to continue the work of present author1,2 without putting any condition on the scalar curvature of Riemannian manifold M

KEYWORDS: Curvature tensor, Ricci tensor, Affine Vectorfield, Associated covariant Vector field, Globally isometric to a sphere


The purpose of present paper is to continue the work of present author1,2 without putting any condition on the scalar curvature of Riemannian manifold M

Fixed Point Theorems for Generalized Metric Space

ZAHEER AHMED

ABSTRACT:

In this paper a unique fixed point theorem is proved for generalized metric space satisfying a generalized contractive condition, using asymptotic regularity. Our result unifies and generalizes various known results.

KEYWORDS: Generalized metric space, asymptotic regularity


In this paper a unique fixed point theorem is proved for generalized metric space satisfying a generalized contractive condition, using asymptotic regularity. Our result unifies and generalizes various known results.

Additional Characterizations of Separation Axioms Using Proper Subspaces

CHARLES DORSETT
USA

ABSTRACT:

Within this paper recent characterizations of separation axioms obtained by using proper subspaces and proper subspace inherited properties are used to further characterize the separation axioms.

KEYWORDS: subspaces, separation axioms, proper subspace inherited properties. AMS Subject Classification: 54B05, and 54D10.


Within this paper recent characterizations of separation axioms obtained by using proper subspaces and proper subspace inherited properties are used to further characterize the separation axioms.

Theorems on special, union and hyper-asymptotic curves of a Tachibana recurrent hypersurface

K.S. RAWAT and MUKESH KUMAR

ABSTRACT:

Springer5, has been studied and defined Union curves of a Riemannian hypersurface Mishra1, has investigated the properties of these curves in a subspace of a Riemannian space. Further, Saxena and Behari2, studied Hypersurfaces of Kaehler manifold. Singh3, studied and defined hypernormal curves of a Finsler subspace. In the present paper, we have studied on special, Union and hyper-asymptotic curves of a Tachibana Recurrent Hypersurface also several theorems have established and proved therein.

KEYWORDS: Union curves, Special curves, Hyper-asymptotic curves, Tachibana space, Recurrent space


Springer5, has been studied and defined Union curves of a Riemannian hypersurface Mishra1, has investigated the properties of these curves in a subspace of a Riemannian space. Further, Saxena and Behari2, studied...

On ˆ -Irresolute functions in topological spaces

S. PIOUS MISSIER1 and E. SUCILA2

ABSTRACT:

In this paper, we introduce the concept of ˆ -irresolute maps, strongly ˆ -continuous maps, perfectly ˆ -continuous maps, totally ˆ -continuous maps and contra ˆ -continuous maps in topological spaces and their properties are studied

KEYWORDS: ˆ -irresolute map, strongly ˆ -continuous map, perfectly ˆ -continuous map, totally ˆ -continuous map, contraˆ -continuous map.


In this paper, we introduce the concept of ˆ -irresolute maps, strongly ˆ -continuous maps, perfectly ˆ -continuous maps, totally ˆ -continuous maps and contra ˆ -continuous maps in topological spaces and...

Einstein constant for almost hyperbolic Hermitian manifold on the product of two Sasakian manifolds

SUSHIL SHUKLA

ABSTRACT:

In 1981, Tsukada worked on the isospectral problem with respect to the complex Laplacian for a two-parameter family of Hermitian structures on the Calabi-Eckmann manifold S2p+1×S2q+1 including the canonical one. In this paper, we define a two-parameter family of almost hyperbolic Hermitian structures on the product manifoldM = M × M’ of a (2p + 1)- dimensional Sasakian manifold M and a (2q + 1)-dimensional Sasakian manifold M’ similarly to the method used in11, and show that any almost hyperbolic Hermitian structure on M belonging to the two parameter family is integrable and again find necessary and sufficient conditionfor a hyperbolic Hermitian manifold in the family to be Einstein

KEYWORDS: Einstein, Hermitian structure, Sasakian manifold


In 1981, Tsukada worked on the isospectral problem with respect to the complex Laplacian for a two-parameter family of Hermitian structures on the Calabi-Eckmann manifold S2p+1×S2q+1 including the canonical one. In this...

Efficient Complementary Perfect Triple Connected Domination Number of a Graph

G. MAHADEVAN1, B. ANITHA2, SELVAM AVADAYAPPAN3 and T. SUBRAMANIAN4

ABSTRACT:

In this paper we introduce new domination parameter called efficient complementary perfect triple connected domination number of a graph. A subset S of V of a nontrivial graph G is said to be an efficient complementary perfect triple connected dominating set, if S is a complementary perfect triple connected dominating set and every vertiex is dominated exactly once. The minimum cardinality taken over all efficient complementary perfect triple connected dominating sets is called the efficient complementary perfect triple connected domination number and is denoted by ecpt. We investigate this number for some standard graphs. We also investigate its relationship with other graph theoretical parameters

KEYWORDS: Complementary perfect triple connected domination number, Efficient complementary perfect triple connected domination number. AMS (2010): 05C69


In this paper we introduce new domination parameter called efficient complementary perfect triple connected domination number of a graph. A subset S of V of a nontrivial graph G is said...

Some generating functions of biorthogonal polynomials suggested by the Laguerre polynomials

K.P. SAMANTA1 and A.K. CHONGDAR2

ABSTRACT:

In this note, we have obtained some novel generating functions(both bilateral and mixed trilateral) involving Konhauser
biorthogonal polynomials by group theoretic method. As special cases, we obtain the corresponding results on generalized
Laguerre polynomials.

KEYWORDS: Laguerre polynomials, biorthogonal polynomials, generating functions. AMS-2000 Subject Classification Code: 33C 47.


In this note, we have obtained some novel generating functions(both bilateral and mixed trilateral) involving Konhauser biorthogonal polynomials by group theoretic method. As special cases, we obtain the corresponding results on...

An inventory model for deteriorating items with weibull deterioration rate, linear demand rate, unit production cost and without shortages

L.K. RAJU1, U.K. MISRA2 and G. MISRA3

ABSTRACT:

The objective of this model is to investigate the inventory system for perishable items with linear demand pattern where Weibull deterioration is considered. The Economic order quantity is determined for minimizing the average total cost per unit time. The unit production cost is taken to be inversely related to the demand rate. The result is illustrated with numerical example.

KEYWORDS: Inventory system, Linear demand, Deterioration, Unit production cost, Shortage


The objective of this model is to investigate the inventory system for perishable items with linear demand pattern where Weibull deterioration is considered. The Economic order quantity is determined...

Finding an Optimal Solution for Transportation Problem– Zero Neighbouring Method

K. THIAGARAJAN1, H.SARAVANAN2 and PONNAMMAL NATARAJAN3

ABSTRACT:

In this paper a different approach namely zero neighbouring method is applied for finding a feasible solution for transportation problems directly. The proposed method is a unique, it gives always feasible (may be optimal for some extent) solution without disturbance of degeneracy condition. This method takes least iterations to reach optimality, compared to the existing methods available in the V. J. Sudhakar et al. Here a numerical example is solved to check the validity of the proposed method and degeneracy problem is also discussed

KEYWORDS: Assignment problem, Transportation problem, Degeneracy, Zero neighbouring method.


In this paper a different approach namely zero neighbouring method is applied for finding a feasible solution for transportation problems directly. The proposed method is a unique, it gives always feasible (may...