Results 1 to 10 of about 37 (37)

Deformations of astheno-Kähler metrics

Complex Manifolds, 2023
The property of admitting an astheno-Kähler metric is not stable under the action of small deformations of the complex structure of a compact complex manifold.
Sferruzza Tommaso
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Deformations of Strong Kähler with torsion metrics

Complex Manifolds, 2021
Existence of strong Kähler with torsion metrics, shortly SKT metrics, on complex manifolds has been shown to be unstable under small deformations.
Piovani Riccardo, Sferruzza Tommaso
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Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds

Complex Manifolds, 2023
We study four-dimensional second Chern-Einstein almost-Hermitian manifolds. In the compact case, we observe that under a certain hypothesis, the Riemannian dual of the Lee form is a Killing vector field.
Barbaro Giuseppe, Lejmi Mehdi
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Pseudo-holomorphic curves: A very quick overview

Complex Manifolds, 2020
This is a review article on pseudo-holomorphic curves which attempts at touching all the main analytical results. The goal is to make a user friendly introduction which is accessible to those without an analytical background.
Oliveira Gonçalo
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Locally conformally Kähler structures on four-dimensional solvable Lie algebras

Complex Manifolds, 2019
We classify and investigate locally conformally Kähler structures on four-dimensional solvable Lie algebras up to linear equivalence. As an application we can produce many examples in higher dimension, here including lcK structures on Oeljeklaus-Toma ...
Angella Daniele, Origlia Marcos
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Locally conformally Kähler solvmanifolds: a survey

Complex Manifolds, 2019
A Hermitian structure on a manifold is called locally conformally Kähler (LCK) if it locally admits a conformal change which is Kähler. In this survey we review recent results of invariant LCK structures on solvmanifolds and present original results ...
Andrada A., Origlia M.
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Laplace operators on holomorphic Lie algebroids

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The paper introduces Laplace-type operators for functions defined on the tangent space of a Finsler Lie algebroid, using a volume form on the prolongation of the algebroid.
Ionescu Alexandru
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Inequalities on the Bochner curvature tensor

Complex Manifolds
On a compact locally conformal Kähler manifold (which is also Gauduchon) satisfying an Einstein-type condition, an inequality between the integrations of Chern forms and the Bochner curvature tensor is proved.
Yang Jieming
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Hermitian Manifolds of Pointwise Constant Antiholomorphic Sectional Curvatures [PDF]

, 2007
2000 Mathematics Subject Classification: Primary 53B35, Secondary 53C50.In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional ...
Ganchev, Georgi, Kassabov, Ognian
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© Hindawi Publishing Corp. SOME SUBMERSIONS OF CR-HYPERSURFACES OF KAEHLER-EINSTEIN MANIFOLD [PDF]

, 2002
The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein man-ifold M ̃ are studied. If M is an extrinsic CR-hypersurface of M ̃ , then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.
Vittorio Mangione
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