Results 1 to 10 of about 1,212 (68)

Deformations of Strong Kähler with torsion metrics

open access: yesComplex 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
doaj   +1 more source

Hessian equations of Krylov type on compact Hermitian manifolds

open access: yesOpen Mathematics, 2022
In this article, we are concerned with the equations of Krylov type on compact Hermitian manifolds, which are in the form of the linear combinations of the elementary symmetric functions of a Hermitian matrix.
Zhou Jundong, Chu Yawei
doaj   +1 more source

Locally conformally balanced metrics on almost abelian Lie algebras

open access: yesComplex Manifolds, 2021
We study locally conformally balanced metrics on almost abelian Lie algebras, namely solvable Lie algebras admitting an abelian ideal of codimension one, providing characterizations in every dimension. Moreover, we classify six-dimensional almost abelian
Paradiso Fabio
doaj   +1 more source

Deformations of astheno-Kähler metrics

open access: yesComplex 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
doaj   +1 more source

\'Etale triviality of finite equivariant vector bundles [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2021
Let H be a complex Lie group acting holomorphically on a complex analytic space X such that the restriction to X_{\mathrm{red}} of every H-invariant regular function on X is constant.
Indranil Biswas, Peter O'Sullivan
doaj   +1 more source

Deformation theory of holomorphic Cartan geometries, II

open access: yesComplex Manifolds, 2022
In this continuation of [4], we investigate the deformations of holomorphic Cartan geometries where the underlying complex manifold is allowed to move. The space of infinitesimal deformations of a flat holomorphic Cartan geometry is computed.
Biswas Indranil   +2 more
doaj   +1 more source

Ruled real hypersurfaces in the complex hyperbolic quadric

open access: yesDemonstratio Mathematica, 2023
In this article, we introduce a new family of real hypersurfaces in the complex hyperbolic quadric Qn∗=SO2,no∕SO2SOn{{Q}^{n}}^{\ast }=S{O}_{2,n}^{o}/S{O}_{2}S{O}_{n}, namely, the ruled real hypersurfaces foliated by complex hypersurfaces.
Lee Hyunjin, Suh Young Jin, Woo Changhwa
doaj   +1 more source

Uniqueness of optimal symplectic connections

open access: yesForum of Mathematics, Sigma, 2021
Consider a holomorphic submersion between compact Kähler manifolds, such that each fibre admits a constantscalar curvature Kähler metric. When the fibres admit continuous automorphisms, a choice of fibrewise constant scalarcurvature Kähler metric is not ...
Ruadhaí Dervan, Lars Martin Sektnan
doaj   +1 more source

A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types

open access: yesComplex Manifolds, 2018
We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga, with a > [0,∞), of real dimension eight with (strongly non-nilpotent) complex structures.
Latorre Adela   +2 more
doaj   +1 more source

On the Hermitian structures of the sequence of tangent bundles of an affine manifold endowed with a Riemannian metric

open access: yesComplex Manifolds, 2022
Let (M, ∇, 〈, 〉) be a manifold endowed with a flat torsionless connection r and a Riemannian metric 〈, 〉 and (TkM)k≥1 the sequence of tangent bundles given by TkM = T(Tk−1M) and T1M = TM. We show that, for any k ≥ 1, TkM carries a Hermitian structure (Jk,
Boucetta Mohamed
doaj   +1 more source

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