We prove that a compact complex manifold endowed with a nontrivial Kahler-Ricci soliton cannot be isometrically embedded in the Fubini-Study complex projective space as a complete intersection.
Isometric embeddings of Kähler-Ricci solitons in the complex projective space / L. Bedulli, A. Gori. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 142:5(2014 May), pp. 1777-1781. [10.1090/S0002-9939-2014-12028-4]
Isometric embeddings of Kähler-Ricci solitons in the complex projective space
A. Gori
2014
Abstract
We prove that a compact complex manifold endowed with a nontrivial Kahler-Ricci soliton cannot be isometrically embedded in the Fubini-Study complex projective space as a complete intersection.
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