Browsing Mathematics (MA) by Title
Now showing items 101-120 of 159
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On the Stability of Certain Riemannian Functionals
(2018-03-06)Given a compact smooth manifold Mn without boundary and n ≥ 3, the Lp-norm of the curvature tensor, defines a Riemannian functional on the space of Riemannian metrics with unit volume M1. Consider ... -
On The Structure of Proper Holomorphic Mappings
(2017-09-28)The aim of this dissertation is to give explicit descriptions of the set of proper holomorphic mappings between two complex manifolds with reasonable restrictions on the domain and target spaces. Without any restrictions, ... -
On two complex Hessian equations and convergence of corresponding flows
This thesis consists of three parts. Two important complex Hessian equations are studied on certain compact K\"ahler manifolds from different perspectives. The first one is the {\em J-equation} introduced independently by ... -
Operator Theory on Symmetrized Bidisc and Tetrablock-some Explicit Constructions
(2018-07-26)A pair of commuting bounded operators (S; P ) acting on a Hilbert space, is called a -contraction, if it has the symmetrised bides = f(z1 + z2; z1z2) : jz1j 1; jz2j 1g C2 as a spectral set. For every -contraction (S; P ), ... -
Optimal Control Of A Stochastic Hybrid System
(2012-11-21) -
Orbit Model Analysis And Dynamic Filter Compensation For Onboard Autonomy
(2009-03-04)Orbit of a spacecraft in three dimensional Inertial Reference Frame is in general represented by a standard set of six parameters like Keplerian Orbital Elements namely semimajor axis, eccentricity, inclination, ... -
Peristaltic Flows With Some Applications
(2007-12-29)Peristalsis is a mechanism of pumping fluids in ducts when a progressive wave of area contraction or expansion propagates along the length of a distensible tube containing fluid. It induces in general propulsive and mixing ... -
Peristaltic Transport Of Biofluids
(2012-05-31) -
The Pick-Nevanlinna Interpolation Problem : Complex-analytic Methods in Special Domains
(2018-06-13)The Pick–Nevanlinna interpolation problem, in its fullest generality, is as follows: Given domains D1, D2 in complex Euclidean spaces, and a set f¹ zi; wiº : 1 i N g D1 D2, where zi are distinct and N 2 š+, N 2, find ... -
Positivity preservers forbidden to operate on diagonal blocks
The question of which functions acting entrywise preserve positive semidefiniteness has a long history, beginning with the Schur product theorem [Crelle 1911], which implies that absolutely monotonic functions (i.e., ... -
A Posteriori Error Analysis of Discontinuous Galerkin Methods for Elliptic Variational Inequalities
(2018-02-15)The main emphasis of this thesis is to study a posteriori error analysis of discontinuous Galerkin (DG) methods for the elliptic variational inequalities. The DG methods have become very pop-ular in the last two decades ... -
Quasi-analytic Functions, Spherical Means, and Uncertainty Principles on Heisenberg Groups and Symmetric Spaces
This thesis has two parts. The first part revolves around certain theorems related to an uncertainty principle and quasi-analyticity. In contrast, the second part reflects a different mathematical theme, focusing on the ... -
Recognition of Structures, Functions and Interactions of Proteins of Pathogens : Implications in Drug Discovery
(2018-07-14)Significant advancements in genome sequencing techniques and other high-throughput initiatives have resulted in the availability of complete sequences of genomes of a large number of organisms, which provide an opportunity ... -
Relative Symplectic Caps, Fibered Knots And 4-Genus
(2014-04-07)The 4-genus of a knot in S3 is an important measure of complexity, related to the unknotting number. A fundamental result used to study the 4-genus and related invariants of homology classes is the Thom conjecture, proved ... -
Representations of Special Compact Linear Groups of Order Two : Construction, Representation Growth, Group Algebras and Branching Laws
Let o be the ring of integers of a non-Archimedean local field such that the residue field has characteristic p: Let p be the maximal ideal of o: For Char¹oº = 0; let e be the ramification index of o: i.e., 2o = pe: Let ... -
Ricci Flow And Isotropic Curvature
(2014-09-03)This thesis consists of two parts. In the first part, we study certain Ricci flow invariant nonnegative curvature conditions as given by B. Wilking. We begin by proving that any such nonnegative curvature implies nonnegative ... -
Riemann Roch Theorem For Algebraic Curves
(2011-09-28) -
Riesz Transforms Associated With Heisenberg Groups And Grushin Operators
(2015-12-08)We characterise the higher order Riesz transforms on the Heisenberg group and also show that they satisfy dimension-free bounds under some assumptions on the multipliers. We also prove the boundedness of the higher order ...