Results 61 to 70 of about 407 (137)

The analytic moduli space of holomorphic submersions

Forum of Mathematics, Sigma
We construct a moduli space that parametrises stable proper holomorphic submersions over a fixed compact Kähler base. Stability is described in terms of the existence of a canonical relatively Kähler metric on the submersion, called an optimal symplectic
Annamaria Ortu
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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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On locally conformal Kähler space forms

International Journal of Mathematics and Mathematical Sciences, 1985
An m-dimensional locally conformal Kähler manifold (l.c.K-manifold) is characterized as a Hermitian manifold admitting a global closed l-form αλ (called the Lee form) whose structure (Fμλ,gμλ) satisfies ∇νFμλ=−βμgνλ+βλgνμ−αμFνλ+αλFνμ, where ∇λ denotes ...
Koji Matsumoto
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Construction of an A-manifold on a principal torus bundle

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013
We construct a new example of an A-manifold, i.e. a Riemannian manifold with cyclic-parallel Ricci tensor. This condition can be viewed as a generalization of the Einstein condition.
Grzegorz Zborowski
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Hyper-Kähler Manifolds of Generalized Kummer Type and the Kuga-Satake Correspondence. [PDF]

Milan J Math, 2022
Varesco M, Voisin C.
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Geometric Structures Induced by Deformations of the Legendre Transform. [PDF]

Entropy (Basel), 2023
Morales PA, Korbel J, Rosas FE.
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Examples of Compact Simply Connected Holomorphic Symplectic Manifolds Which Are Not Formal

Axioms
In this paper, we prove that the complex four dimensional compact holomorphic symplectic manifold we found earlier is not formal. This gives another strong consequence that it is not a topological Kähler manifold. We also conjecture that this is true for
Daniel Guan
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Derived Categories of Hyper-Kähler Manifolds via the LLV Algebra. [PDF]

Milan J Math, 2022
Beckmann T.
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Geodesics and magnetic curves in the 4-dim almost Kähler model space F4

Complex Manifolds
We study geodesics and magnetic trajectories in the model space F4{{\rm{F}}}^{4}. The space F4{{\rm{F}}}^{4} is isometric to the 4-dim simply connected Riemannian 3-symmetric space due to Kowalski. We describe the solvable Lie group model of F4{{\rm{F}}}^
Erjavec Zlatko, Inoguchi Jun-ichi
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The Looijenga-Lunts-Verbitsky Algebra and Verbitsky's Theorem. [PDF]

Milan J Math, 2022
Bottini A.
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