Topics in Complex Differential Geometry by Lung Tak Yee A.
Since the late 1940s and early 1950s, differential geometry and the theory of manifolds has developed with breathtaking speed. It has become part of the ba- sic education of any mathematician or theoretical physicist, and with applications in other areas of science such as engineering or economics.
DIFFERENTIAL GEOMETRY: A First Course in Curves and Surfaces Preliminary Version Summer, 2016 Theodore Shifrin University of Georgia Dedicated to the memory of Shiing-Shen Chern, my adviser and friend c 2016 Theodore Shifrin No portion of this work may be reproduced in any form without written permission of the author, other than.
Differential Geometry and its Applications publishes original research papers and survey papers in. differential geometry and in all interdisciplinary areas in mathematics which use differential. geometric methods and investigate geometrical structures.
Geometry and Statistics. 1.1 Preamble. The aim of this chapter is to describe the motivation and history behind the use of differential geometry in statistics. In writing this work we have a fundamental difficulty in the nature of the audience which might be interested in reading it. On one hand we have the pure geometers.
GEOMETRIC ALGEBRA: AN INTRODUCTION WITH APPLICATIONS IN EUCLIDEAN AND CONFORMAL GEOMETRY by Richard A. Miller This thesis presents an introduction to geometric algebra for the uninitiated. It contains examples of how some of the more traditional topics of mathematics can be reexpressed in terms of geometric algebra along with proofs of several.
Abstract Thedifferential-calculuswasintroducedtostudytheresourceusageofprograms. This thesis marks a change in that belief system; our thesis can be summarized by the.
Abstract available p. 1. Zharkov, Sergei (2000) Conic structures in differential geometry. PhD thesis, University of Glasgow. Full text available as.
Noncommutative geometry is a possible candidate for the mathematics of this structure. However, physical theories on noncommutative spaces are still essentially classical and need to be quantised. We present a path integral formalism for quantising gravity in the form of the spectral action.
This thesis studies normal forms for Poisson structures around symplectic leaves using several techniques: geometric, formal and analytic ones. One of the main results (Theorem 2) is a normal form theorem in Poisson geometry, which is the Poisson-geometric version of the Local Reeb Stability (from foliation theory) and of the Slice Theorem (from equivariant geometry). The result generalizes.
Abstract. This thesis realises the need for describing computer curves and surfaces in terms of intrinsic quantities and certain properties relative to the Euclidean space in which they are embedded. Chapter 1 introduces some of the ideas and problems involved in what can be termed computational differential geometry.
The object of this thesis was the study of a differential geometry for a Hausdorff space endowed with an affine linear connection and a non-holonomic linear connection. The coordinate spaces were taken to be Banach spaces. In Chapter II we define the notion of a non-holonomic contravariant vector field, and by means of the non-holonomic linear connection introduce the operation of covariant.
Differential geometry, mathematical physics, and gauge theories: an honors thesis (HONRS 499) By Neal E. Coleman Get PDF (20 MB).
The triple tangent bundle T3M of a manifold M is a prime example of a triple vector bundle. The definition of a general triple vector bundle is a cube of vector bundles that commute in the strict categorical sense. We investigate the intrinsic features of such cubical structures, introducing systematic notation, and further studying linear double sections; a generalization of sections of.
