MPhil Thesis
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Item On steady magnetohydrodynamic forced and free convection flow(© University of Dhaka, 2025-03-19) Alam, K. C. AmanulItem On steady and unsteady flow through porous medium(© University of Dhaka, 2025-03-19) Banu, NurzahanItem Study of the cosmological model(© University of Dhaka, 2025-03-19) Alim Miah, Md. AbdulItem Study on the growth and spaces of entire functions in one and several complex variables(© University of Dhaka, 2025-03-19) alam, Md. FerujItem Development of point-set topology : selected aspects(© University of Dhaka, 2025-03-19) Khatun, RahimaItem Ideals in semigroups and their fuzzification(© University of Dhaka, 2025-03-19) Khanom, HamidaItem Theory of groups from cayley to frobenius(© University of Dhaka, 2025-03-19) Chakraborty, SujoyItem Approximate solutions of Newtonian and non-Newtonian boundary layer equations by the bsp method(© University of Dhaka, 2025-03-19) Newaz, Md KaramItem Existence and stability of isotropic moduli spaces(University of Dhaka, 2019-04-25) Akter, SharminManifolds are simplifications of our accustomednotions about curves and exteriors to arbitrary dimensional objects. Generally, A Manifolds is a topological space which is homeomorphic to ℝ . Connections of manifolds are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. It is a well-known fact that, a Riemannian metric on a differentiable manifold induces a Riemannian metric on its submanifold and, hence, a Riemannian connection on the manifold induces a Riemannian connection on its submanifold. We haveconcerned aboutLie groups and Lie Algebra which deals with the applications of classical mechanics, In the mathematical fields of differential geometry and tensor calculus, differential forms provide a unified approach to defining integrands over curves, surfaces, volumes, and higher-dimensional manifolds . In this paper, we established the theorem of Stability of isotropic submanifolds whereX be a compact complex submanifold of a complex manifold Y. The main object of interest in this paper is the set M of all holomorphic deformations of Xinside Y, i.e. a point t in M can be thought of as a” nearby” compact complex submanifold in Y.Instead of analyzing some particularKodaira moduli spaces (as is normally done in twister theory, where moduli spaces of rational curves and quadrics with specific normal bundles have been only considered), This generalizes the result of Merkulov on Isotropic Submanifolds, which is not necessarily on Legendre and Kodaira.Item Study of the cosmological model(University of Dhaka, 2017-10-19) Abdul Alim Miah, Md.The thesis consists of ten chapters. In this thesis chapter one, chapter two, chapter three, chapter four, chapter five, chapter six, chapter seven, chapter nine, chapter ten are expository and the chapter eight is our contribution. In chapter one, we have presented Historical Cosmology, Rotating Galaxies, Inertial Frames and the Cosmological Principal, Galactic and Extragalactic Astronomy and the Cosmic Scale. In chapter two, we have established Classical Tests of General Relativity, Black Holes, Falling into a Black Hole and Hawking Radiation. In chapter three, we have presented Old and New Inflation, Chaotic Inflation and the Inflation as Quintessence. In chapter four, we have established the Standard Hot Big Bang Model, CMB and the Surface of Last Scattering and the COBE Satellite. In chapter five, we have established Schwarzschild Solution, Removing the Singularity of Schwarzschild Solution and here we also have discussed Crucial Tests in Relativity such as the Advance of Perihelion of the Mercury Planet, Gravitational Deflection of Light Rays and Shift in Spectral Lines. In chapter six, we have presented Equivalence of Mass and Energy, Maxwell’s equations and Energy Momentum Tensor Tµυ and its Physical Significance. In chapter seven, we have presented Robertson-Walker Metric and Calculating R00, R11, R22, R33 from Robertson-Walker Line Element and we have established Friedmann Model from Robertson-Walker Line Element such as Flat Model, Closed Model and Open Model. Here, we also have presented Einstein’s Line Element-its properties, de-Sitter’s Line Element-its properties and Similarity and Difference between Einstein and de-Sitter’s Line Element. In section 8.1 of chapter eight, we have presented Huge Viscous Bianchi Type-1 Cosmological Model for Barotropic Fluid and Decaying with Time and here we have observed the volume expansion , the Hubble’s parameter H, the pressure p, the deceleration parameter q, the matter energy density and the cosmological parameter on evolution of the universe at large time. In this chapter in section 8.2, we have presented Bianchi Type-1 Cosmological Model for Fluid Distribution and Expanding Universe and here we have observed the volume expansion , the Hubble’s Parameter H, the pressure p, the deceleration parameter q and the matter energy density on evolution of the universe at large time. In this chapter in section 8.3, we have presented Phenomenology and Accelerating Universe with Time Variable and here we have observed the parameter , the decelerating parameter q, the pressure p, the matter energy density and the cosmological parameter on the phenomenological evolution of the universe at large time. This is our contributory chapter. In chapter nine, we have established the Conception of Albert Einstein about Hubble’s Cosmology, the Conception of Stephen Hawking about Hubble’s Cosmology, Hubble’s Law, Hubble’s Time and Radius, Hubble’s Constant and the Changing Views of Hubble about Cosmology. In chapter ten, we have discussed First Frame, Second Frame, Third Frame, Fourth Frame, Fifth Frame and Sixth Frame of the Early Universe.