DSpace Collection: http://13.232.72.61:8080/jspui/handle/123456789/498 2026-02-28T05:19:59Z ON (N(k),ξ)-semi-Riemannian 3-manifolds http://13.232.72.61:8080/jspui/handle/123456789/3369 Title: ON (N(k),ξ)-semi-Riemannian 3-manifolds Authors: Prakasha, DG., Nagaraja, HG.; Somashekhara, G. Abstract: The object of the present paper is to study 3-dimensional (N(k), ξ)-semi- Riemannian manifolds. We study (N(k), ξ)-semi-Riemannian 3-manifolds which are Ricci-semi-symmetric, locally ϕ-symmetric and have η-parallel Ricci tensor. Key words and phrases: (N(k), ξ)-semi-Riemannian 3-manifold, Ricci-semi-symme- tric, locally ϕ-symmetric, η-parallel Ricci tensor, η-Einstein manifold. MSC(2000): 53C25, 53C50. 2014-01-01T00:00:00Z PROJECTIVE EQUIVALENCE BETWEEN TWO FAMILIES OF FINSLER METRICS http://13.232.72.61:8080/jspui/handle/123456789/3368 Title: PROJECTIVE EQUIVALENCE BETWEEN TWO FAMILIES OF FINSLER METRICS Authors: Pradeepkumar., Madhu, T S.; Ramesha, M. Abstract: In this paper, we nd the necessary and su cient condition to characterize the projective relation between two subclasses of ( ; )-metrics L = + 2 + 2 and L = 2 on a manifold M with dimension n > 2, where and are two Riemannian metrics, and are two non zero 1-forms. 2016-01-01T00:00:00Z Effects of Variable Viscosity and Thermal Conductivity on MHD Flow and Heat Transfer of a Dusty Fluid http://13.232.72.61:8080/jspui/handle/123456789/2232 Title: Effects of Variable Viscosity and Thermal Conductivity on MHD Flow and Heat Transfer of a Dusty Fluid Authors: Manjunatha, S.; Gireesha, B. J. Abstract: The problem of magnetohydrodynamic flow and heat transfer of a viscous, incompressible and electrically conducting dusty fluid over an unsteady stretching sheet is analyzed numerically. The fluid viscosity and thermal conductivity are assumed to vary as an exponential function of temperature. The governing fundamental equations are approximated by a system of nonlinear ordinary differential equations using similarity transformations. The obtained similarity equations are solved numerically using RKF-45 method. Numerical computation has been carried out for horizontal velocity profiles, temperature, Nusselt number and skin friction coefficient for various values of the flow parameters that are presented for both VWT and VHF respectively. A comparison with previously published work is performed and the results are found to be in good agreement. 2016-01-01T00:00:00Z The Stolarsky Type Functions and their Monotonicities http://13.232.72.61:8080/jspui/handle/123456789/2224 Title: The Stolarsky Type Functions and their Monotonicities Authors: Lokesha, V.; Wang, Zhi-Gang; Zhang, Zhi-Hua; Padmanabhan, S. Abstract: In this paper, we give the definition of a Stolarsky type function, and obtain its monotonicity. By using these results, we establish a series of means and their monotonicities in n variables. 2009-03-01T00:00:00Z