Special Einstein’s equations on Kähler manifolds

Irena Hinterleitner; Volodymyr Kiosak

Displaying similar documents to “Special Einstein’s equations on Kähler manifolds”

On the existence of pseudosymmetric Kähler manifolds

Zbigniew Olszak (2003)

Colloquium Mathematicae

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It is proved that there exists a non-semisymmetric pseudosymmetric Kähler manifold of dimension 4.

Homogeneous Riemannian manifolds with generic Ricci tensor

Włodzimierz Jelonek (2001)

Annales Polonici Mathematici

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We describe homogeneous manifolds with generic Ricci tensor. We also prove that if 𝔤 is a 4-dimensional unimodular Lie algebra such that dim[𝔤,𝔤] ≤ 2 then every left-invariant metric on the Lie group G with Lie algebra 𝔤 admits two mutually opposite compatible left-invariant almost Kähler structures.

Self-dual Kähler manifolds and Einstein manifolds of dimension four

Andrzej Derdziński (1983)

Compositio Mathematica

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A remark on four-dimensional almost Kähler-Einstein manifolds with negative scalar curvature.

Lemence, R.S., Oguro, T., Sekigawa, K. (2004)

International Journal of Mathematics and Mathematical Sciences

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Toric extremal Kähler-Ricci solitons are Kähler-Einstein

Simone Calamai, David Petrecca (2017)

Complex Manifolds

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In this short note, we prove that a Calabi extremal Kähler-Ricci soliton on a compact toric Kähler manifold is Einstein. This settles for the class of toric manifolds a general problem stated by the authors that they solved only under some curvature assumptions.