Czechoslovak Mathematical Journal, first online, pp. 1-16
Harmonic metrics on four dimensional non-reductive homogeneous manifolds
Amirhesam Zaeim, Parvane Atashpeykar
Received May 26, 2016. First published February 14, 2018.
Abstract: We study harmonic metrics with respect to the class of invariant metrics on non-reductive homogeneous four dimensional manifolds. In particular, we consider harmonic lifted metrics with respect to the Sasaki lifts, horizontal lifts and complete lifts of the metrics under study.
Affiliations: Amirhesam Zaeim (corresponding author), Department of Mathematics, Payame Noor University, Nakhl St., P. O. Box 19395-3697, Tehran, Iran, e-mail: email@example.com; Parvane Atashpeykar, Department of Mathematics, Basic Sciences Faculty, University of Bonab, Velayat Highway, P. O. Box 5551761167, Bonab 55517, Iran, e-mail: firstname.lastname@example.org