Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 113 for “"Differential geometry"”.
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Conic structures in differential geometry
Abstract available p. 1
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Differential Geometry in Computational Electromagnetics
… motivated by recent progress in noncommutative differential geometry.
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Differential-Geometry on Simplicial Manifolds
Made available in DSpace on 2014-12-11T18:24:12Z (GMT). No. of bitstreams: 1 7500397.pdf: 3837794 bytes, checksum: 69f0ba6e6dbe180d1f2682f24eeb04a2 (MD5) Previous issue date: 1974
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Multifield inflation and differential geometry
Cosmic inflation posits that the universe underwent a period of exponential expansion, driven by one or several quantum fields, shortly after the Big Bang. Renormalization requires the fields be non-minimally coupled to gravity. We examine such multifield models and find a rich geometric structure. …
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The differential geometry of general surface in S₄
Thesis (M.A.)--Michigan State College of Agriculture and Applied Science. (Dept. of Mathematics), 1937
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Discretization of differential geometry for computational gauge theory
This Dissertation was approved for publication on 2018-04-13 at 12:05.
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Discrete Differential Geometry of Thin Materials for Computational Mechanics
… first, and then compute with the discrete geometry. This structure-respecting discrete-differential-geometric (DDG) approach often leads to new algorithms that more accurately track the physically behavior of the system with less computational effort. Thin objects, such as pieces of cloth, …
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Applications of differential geometry to high spin field theories
… is to investigate the application of methods of differential geometry to the constraint analysis of relativistic high spin field theories. As a starting point the coordinate dependent descriptions of the Lagrangian and Dirac-Bergmann constraint algorithms are reviewed for general second order …
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Derived Lie Infinity-Groupoids And Algebroids In Higher Differential Geometry
We study various problems arising in higher geometry using derived Lie $\infty$-groupoids and algebroids. We construct homotopical algebras for derived Lie $\infty$-groupoids and algebroids and study their homotopy-coherent representations. Then we apply these tools in studying singular foliations …
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The Application of Differential Geometry to Classical and Quantum Gravity
The Application of Differential Geometry to Classical and Quantum Gravity
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Robust evaluation of differential geometry properties using interval arithmetic techniques
… thesis presents a robust method for evaluating differential geometry properties of sculptured surfaces by using a validated ordinary differential equation (ODE) system solver based on interval arithmetic. Iso-contouring of curvature of a Bezier surface patch. computation of curvature lines of a …
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Numerical variational methods in differential geometry and applications to computer graphics
… which are analogues of smooth objects in differential geometry. These are incorporated into numerical methods for computer simulation of geometric objects. Some methods to generate geodesic curves on surfaces are discussed.
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Projective differential geometry of certain surfaces in a space of four dimensions
Thesis (M.A.)--Michigan State College of Agriculture and Applied Science, 1934
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A Differential Geometry-Based Algorithm for Solving the Minimum Hellinger Distance Estimator
Robust estimation of statistical parameters is traditionally believed to exist in a trade space between robustness and efficiency. This thesis examines the Minimum Hellinger Distance Estimator (MHDE), which is known to have desirable robustness properties as well as desirable efficiency properties. …
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Infinitesimal Models of Algebraic Theories
… when applied in the context of Synthetic Differential Geometry. This allows us to study well-known geometric structures and concepts from the viewpoint of infinitesimal geometric algebra. Infinitesimal models of algebraic theories generalise the notion of a model by allowing the operations …
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Path optimization using sub-Riemannian manifolds with applications to astrodynamics
Differential geometry provides mechanisms for finding shortest paths in metric spaces. This work describes a procedure for creating a metric space from a path optimization problem description so that the formalism of differential geometry can be applied to find the optimal paths. Most path …
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Quaternionic slice regular functions on domains without real points
… I've studied some rigidity properties, some differential issues and an application in complex differential geometry. This application concerns the constructions and classifications of orthogonal complex structures on open domains of the four dimensional euclidean space.
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The Quantum Mechanical Hamiltonian of Rotating-Vibrating Polyatomic Molecules and an Exact Solution
… is obtained using well-established techniques of differential geometry. The difficulties and the ambiguities in the traditional approach to this problem--that of quantization--are then investigated. In this unified treatment of linear and nonlinear molecules, the reasons that previously have led …
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