Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.253160 |
![]() |
|||||||
Title: | Harmonic Riemannian manifolds | ||||||
Author: | Carpenter, Paul |
ISNI:
0000 0001 3520 7114
|
|||||
Awarding Body: | Durham University | ||||||
Current Institution: | Durham University | ||||||
Date of Award: | 1980 | ||||||
Availability of Full Text: |
|
||||||
Abstract: | |||||||
In this thesis work is described that arose out of a study of harmonic Riemannian manifolds. A definition of harmonicity is given and from this it is shown how the Ledger conditions on the curvature of a harmonic manifold may be derived in principle and the first four are written down. The first three Ledger conditions are put into local co-ordinate form and simpler conditions are derived, the most important being the super-Einstein condition. The idea of the Schur property is also introduced. The mean-value work of Gray and Willmore is described and extended as far as the r(^8) term under some simplifying conditions. Finally there is an investigation of the extent to which the compact classical simple Lie groups with bi-invariant metrics can satisfy Ledger’s first three conditions.
|
|||||||
Supervisor: | Not available | Sponsor: | Not available | ||||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
EThOS ID: | uk.bl.ethos.253160 | DOI: | Not available | ||||
Keywords: | Mathematical sciences, general | ||||||
Share: |