Kaehler Ricci solitons induced by infinite dimensional complex space forms
Differential Geometry
2022-03-09 v1 Complex Variables
Abstract
We exhibit families of non trivial (i.e. not Kaehler-Einstein) radial Kaehler-Ricci solitons (KRS), both complete and not complete, which can be Kaehler immersed into infinite dimensional complex space forms. This result shows that the triviality of a KRS induced by a finite dimensional complex space form proved in [12] does not hold when the ambient space is allowed to be infinite dimensional. Moreover, we show that the radial potential of a radial KRS induced by a non-elliptic complex space form is necessarily defined at the origin.
Cite
@article{arxiv.2105.10695,
title = {Kaehler Ricci solitons induced by infinite dimensional complex space forms},
author = {Andrea Loi and Fabio Zuddas and Filippo Salis},
journal= {arXiv preprint arXiv:2105.10695},
year = {2022}
}
Comments
22 pages