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Remarks on Kähler–Ricci solitons

Advances in Geometry, 2015
Abstract We prove that a compact complex manifold endowed with a Kähler-Ricci soliton cannot be isometrically embedded in a complex projective space ℂℙn in such a way that the Gauss map is rational, unless the metric is Einstein. This applies to hypersurfaces of complex compact homogeneous spaces canonically embedded in ℂℙn.We moreover ...
BEDULLI, LUCIO, Gori A.
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A note on almost Ricci solitons

Analysis and Mathematical Physics, 2020
We find several sufficient conditions on a compact almost Ricci soliton under which it is a trivial Ricci soliton. We also find a sufficient condition under which a compact almost Ricci soliton is isometric to a sphere.
Sharief Deshmukh, Hana Al-Sodais
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Applications to Ricci Solitons

2016
In this chapter we apply maximum principles techniques to the study of the geometry of Ricci solitons. Ricci solitons have become the subject of a rapidly increasing investigation since the appearance of the seminal works of Hamilton [133] and Perelman [217]; this investigation has been mainly directed towards two goals, classification and triviality ...
Marco Rigoli   +2 more
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