Results 1 to 10 of about 96 (90)
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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Hessian equations of Krylov type on compact Hermitian manifolds
Open 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
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Locally conformally balanced metrics on almost abelian Lie algebras
Complex 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
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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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Deformation theory of holomorphic Cartan geometries, II
Complex 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
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Uniqueness of optimal symplectic connections
Forum 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
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Ruled real hypersurfaces in the complex hyperbolic quadric
Demonstratio 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
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\'Etale triviality of finite equivariant vector bundles [PDF]
Épijournal 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
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Characterizing the complex hyperbolic space by Kähler homogeneous structures [PDF]
, 2000 8 pages.-- MSC1991 codes: Primary 53C30; Secondary 53C25, 53C55.The characterization of the complex hyperbolic space equipped with the Bergman metric of negative constant holomorphic sectional curvature, as the unique (up to holomorphic isometries ...
Gadea, Pedro M. +5 more
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Volume and Self-Intersection of Differences of Two Nef Classes
, 2016 International audienceLet {α} and {β} be nef cohomology classes of bidegree (1, 1) on a compact n-dimensional Kähler manifold X such that the difference of intersection numbers {α} n − n {α} n−1. {β} is positive.
Popovici, Dan
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