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arXiv · 2003.00841

K\"ahler immersions of K\"ahler-Ricci solitons into definite or indefinite complex space forms

Andrea Loi·Roberto Mossa
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Abstract

Let $(g, X)$ be a K\"ahler-Ricci soliton on a complex manifold $M$. We prove that if the K\"ahler manifold $(M, g)$ can be K\"ahler immersed into a definite or indefinite complex space form of constant holomorphic sectional curvature $2c$, then $g$ is Einstein. Moreover, its Einstein constant is a rational multiple of $c$.

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Andrea Loi, Roberto Mossa. 2020-03-02. K\"ahler immersions of K\"ahler-Ricci solitons into definite or indefinite complex space forms. https://doi.org/10.1090/proc/15628

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