# Kähler immersions of Kähler–Ricci solitons into definite or indefinite complex space forms

@article{Loi2020KhlerIO, title={K{\"a}hler immersions of K{\"a}hler–Ricci solitons into definite or indefinite complex space forms}, author={Andrea Loi and Roberto Mossa}, journal={Proceedings of the American Mathematical Society}, year={2020} }

Let (g,X) be a Kähler–Ricci soliton on a complex manifold M . We prove that if the Kähler manifold (M, g) can be Kähler immersed into a definite or indefinite complex space form then g is Einstein. Notice that there is no topological assumptions on the manifold M and the Kähler immersion is not required to be injective. Our result extends the result obtained in [3] asserting that a KRS on a compact Kähler submanifold M ⊂ CP which is a complete intersection is KE.

## 11 Citations

### Kähler–Ricci solitons induced by infinite-dimensional complex space forms

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