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 Ernst Kunz in an unpublished manuscript to the non-affine case.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
Recommended Citation
Lank, Pat. "Intrinsic Curvature For Schemes." (2020). https://digitalrepository.unm.edu/math_etds/176
