Results 11 to 20 of about 217 (47)
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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Applications of the Ashtekar gravity to four dimensional hyperk\"ahler geometry and Yang-Mills Instantons [PDF]
, 1996 The Ashtekar-Mason-Newman equations are used to construct the hyperk\"ahler metrics on four dimensional manifolds. These equations are closely related to anti self-dual Yang-Mills equations of the infinite dimensional gauge Lie algebras of all volume ...
Gava E. +7 more
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Kahler submanifolds and the Umehara algebra [PDF]
, 2016 We show that an indefinite Euclidean complex space is not a relative of an indefinite non-flat complex space form.
Cheng, Xiaoliang +2 more
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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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Calculus on symplectic manifolds [PDF]
, 2008 On a symplectic manifold, there is a natural elliptic complex replacing the de Rham complex. It can be coupled to a vector bundle with connection and, when the curvature of this connection is constrained to be a multiple of the symplectic form, we find a
Eastwood, Michael, Slovak, Jan
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Einstein-Hermitian connection on twisted Higgs bundles [PDF]
, 2010 Let $X$ be a smooth projective variety over $\mathbb C$. We prove that a twisted Higgs vector bundle $(\calE\, ,\theta)$ on $X$ admits an Einstein--Hermitian connection if and only if $(\calE\, ,\theta)$ is polystable. A similar result for twisted vector
Amit Hogadi +14 more
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Special Einstein's equations on K\"ahler manifolds [PDF]
, 2010 This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov's classification of Riemannian manifolds according to special properties of the energy-momentum tensor to K\"ahler ...
Hinterleitner, I., Kiosak, V.
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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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