We prove that a compact complex manifold endowed with a non-trivial Ka ̈hler-Ricci soliton cannot be isometrically embedded in the Fubini- Study complex projective space as a complete intersection.
Isometric Embedding of Kaehler Ricci solitons in the complex Projective Space / L. Bedulli, A. Gori. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - 142:5(2014 Feb), pp. 1777-1781. [Epub ahead of print] [10.1090/S0002-9939-2014-12028-4]
Isometric Embedding of Kaehler Ricci solitons in the complex Projective Space
A. Gori
2014
Abstract
We prove that a compact complex manifold endowed with a non-trivial Ka ̈hler-Ricci soliton cannot be isometrically embedded in the Fubini- Study complex projective space as a complete intersection.
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