Publication Date

Fall 10-7-2020

Abstract

This thesis develops an algebraic analog of psuedo-Riemannian geometry for relative schemes whose cotangent sheaf is finite locally free. It is a generalization of the algebraic differential calculus proposed by Dr. Ernst Kunz in an unpublished manuscript to the non-affine case. These analogs include the psuedo-Riemannian metric, Levi-Civit´a connection, curvature, and various existence theorems.

Degree Name

Mathematics

Level of Degree

Masters

Department Name

Mathematics & Statistics

First Committee Member (Chair)

Alexandru Buium

Second Committee Member

Janet Vassilev

Third Committee Member

Dimiter Vassilev

Language

English

Keywords

Algebraic geometry, Riemannian curvature, Levi-Civita connection

Document Type

Thesis

Download

Share

COinS