University of Notre Dame
Browse

Integral Boundary Invariants for Conformally Compact Einstein Manifolds and Generalizations

Download (374.88 kB)
thesis
posted on 2008-07-18, 00:00 authored by Raymond Jensen
In this article we investigate volume invariants on the boundary of conformally compact manifolds, subject to constant scalar curvature condition. This work is a generalization of that of R Graham, where the Einstein condition was considered. It is shown that the invariants under weakening to constant scalar curvature condition are different in general from those under Einstein condition. We then look at some cases of constant scalar curvature condition involving the measure of Chang, Gursky and Yang.

History

Date Modified

2017-06-02

Defense Date

2008-06-19

Research Director(s)

Grant Mathews

Committee Members

Pit-Mann Wong Matthew Gursky Brian Smyth Michael Gekhtman Alex Himonas

Degree

  • Doctor of Philosophy

Degree Level

  • Doctoral Dissertation

Language

  • English

Alternate Identifier

etd-07182008-130145

Publisher

University of Notre Dame

Additional Groups

  • Mathematics

Program Name

  • Mathematics

Usage metrics

    Dissertations

    Categories

    No categories selected

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC