On Spaces with the Maximal Number of Conformal Killing Vectors
Physical Science International Journal · pp. 1–13 · Published 11 Dec 2018
10.9734/PSIJ/2018/45191Abstract
It is natural to expect and simple to prove that every conformally flat space possess the maximal number of conformal Killing vector fields (CKVs). On the other hand, it is interesting to ask whether the converse is true. Is conformal flatness a necessary condition for the existence of the maximal number of CKVs? In this review article it is proven that the answer is yes, a space admits the maximal number of CKVs if, and only if, it is conformally flat.
Cited by 2
Ragab M. Gad, Awatif Al-Jedani, Shahad T. Alsulami · Symmetry · 2025
Jibril Ben Achour, Etera R. Livine, Daniele Oriti · Universe · 2023
Related research
- On Finding Geodesic Equation of Two Parameters Extreme Value and Related Six Distribution — shares topic coverage
Article metrics
Real usage data collected on this platform.
0
Page views
0
PDF downloads
0
Outbound clicks
2
Citations
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
No views recorded yet.
Traffic sources
Referring site, by host.
No traffic recorded yet.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.