dc.contributor.advisor | Jeffres, Thalia D. | |
dc.contributor.author | Shabo, Faiz | |
dc.date.accessioned | 2021-08-25T16:14:42Z | |
dc.date.available | 2021-08-25T16:14:42Z | |
dc.date.issued | 2021-07 | |
dc.identifier.other | t21047 | |
dc.identifier.uri | https://soar.wichita.edu/handle/10057/21757 | |
dc.description | Thesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics | |
dc.description.abstract | Gregorio Ricci-Curbastro, (1853-1925) Bologna, was an Italian mathematician and
a professor at the University of Padua from 1880 -1925. He was the rst to introduce the
systematic theory of tensor analysis in 1887 with a a major contribution later by his student
Tullio Levi-Civita. However, the roots of tensor analysis were laid by the work of German
mathematician Bernhard Riemann in Di erential Geometry. The beginning of the twentieth
century was the emergence of the study of the Ricci Tensor due to its major role in the
mathematical formulation of the theory of general relativity of Albert Einstein. Also, as one
of the important geometric features that have been used to prove several major theorems in
di erential geometry and topology. Here I will focus on the idea of the conformal change of
metrics and what is the necessary and su cient condition for a metric to be conformal to
another metric on the same manifold, and how geometric objects like Riemannian and Ricci
curvature are related under this change. | |
dc.format.extent | vii, 54 pages | |
dc.language.iso | en_US | |
dc.publisher | Wichita State University | |
dc.rights | © Copyright 2021 by Faiz Shabo
All Rights Reserved | |
dc.subject.lcsh | Electronic dissertations | |
dc.title | Ricci tensor under conformal change of metric as an elementary obstruction to certain Einstein metrics | |
dc.type | Thesis | |