Open AccessSymmetries of four-dimensional Lorentzian Damek-Ricci spaces
Author(s) -
Assia Mostefaoui,
AUTHOR_ID,
Noura Sidhoumi,
AUTHOR_ID
Publication year - 2021
Publication title -
bulletin of the "transilvania" university of braşov. series iii, mathematics and computer science
Language(s) - English
Resource type - Journals
eISSN - 2810-2037
pISSN - 2810-2029
DOI - 10.31926/but.mif.2021.1.63.1.13
Subject(s) - homogeneous space , ricci curvature , killing vector field , ricci flow , vector field , invariant (physics) , curvature , pure mathematics , mathematics , metric (unit) , mathematical analysis , mathematical physics , physics , geometry , engineering , operations management
We consider the four-dimensional Damek-Ricci spaces, equipped with theleft-invariant Lorentzian metric. We obtain a full classification of Killing andaffine vector fields as well as Ricci, curvature and matter collineations. Inparticular, we prove the non-existence of proper (that is non Killing) affinevector field