Author:
Marini Stefano,Tardini Nicoletta,Zedda Michela
Abstract
AbstractMotivated by a conjecture in Loi et al. (Math Zeit 290:599–613, 2018) we prove that the Kähler cone over a regular complete Sasakian manifold is Ricci-flat and projectively induced if and only if it is flat. We also obtain that, up to $$\mathcal D_a$$
D
a
—homothetic transformations, Kähler cones over homogeneous compact Sasakian manifolds are projectively induced. As main tool we provide a relation between the Kähler potentials of the transverse Kähler metric and of the cone metric.
Funder
Prin 2022 – Real and Complex Manifolds: Geometry and Holomorphic Dynamics – Italy
Università degli Studi di Parma
Publisher
Springer Science and Business Media LLC
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