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arXiv · 2105.10695

Kaehler Ricci solitons induced by infinite dimensional complex space forms

Andrea Loi·Fabio Zuddas·Filippo Salis
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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.

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Andrea Loi, Fabio Zuddas, Filippo Salis. 2021-05-22. Kaehler Ricci solitons induced by infinite dimensional complex space forms. https://doi.org/10.2140/pjm.2022.316.183

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