Results 51 to 60 of about 97 (90)

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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On Kähler-like and G-Kähler-like almost Hermitian manifolds

Complex Manifolds, 2020
We introduce Kähler-like, G-Kähler-like metrics on almost Hermitian manifolds. We prove that a compact Kähler-like and G-Kähler-like almost Hermitian manifold equipped with an almost balanced metric is Kähler.
Kawamura Masaya
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On Extrinsic Symmetric CR-Structures on the Manifolds of Complete Flags

, 2008
. In the present paper we study extrinsic symmetric CR-structures on the manifolds of complete flags Gu/T relating some of them with the inner symmetric spaces Gu/K. We show that the maximum possible CR-dimension of any extrinsic symmetric CR-manifold Gu/

core  

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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A new class of non-Kähler metrics

Complex Manifolds
We study the stability at blow-ups and deformations of a class of Hermitian metrics whose fundamental two-form ω\omega satisfies the condition ∂∂¯ωk=0\partial \bar{\partial }{\omega }^{k}=0, for any kk between 1 and n−1n-1 (where nn is the complex ...
Ciulică Cristian
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On the Kähler-likeness on almost Hermitian manifolds

Complex Manifolds, 2019
We define a Kähler-like almost Hermitian metric. We will prove that on a compact Kähler-like almost Hermitian manifold (M2n, J, g), if it admits a positive ∂ ̄∂-closed (n − 2, n − 2)-form, then g is a quasi-Kähler metric.
Kawamura Masaya
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A Note on Rigidity of 3-Sasakian Manifolds

, 1998
Making use of the relations among 3-Sasakian manifolds, hypercomplex manifolds and quaternionic Kahler orbifolds, we prove that complete 3-Sasakian manifolds are rigid. Keywords: Sasakian, Hypercomplex, Deformations.
Henrik Pedersen, Yat Sun Poon
core  

Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]

J Geom Anal, 2022
Datar V, Jacob A.
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A remark on the second order estimates for the quaternionic Calabi–Yau problem on hyperkähler manifolds

Complex Manifolds
We revisit the second order estimate for solutions to the quaternionic Calabi–Yau problem on hyperkähler manifolds, originally established by Dinew and Sroka in [S. Dinew and M.
Gentili Giovanni, Vezzoni Luigi
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On line bundles arising from the LCK structure over locally conformal Kähler solvmanifolds

Complex Manifolds
We can construct a real line bundle arising from the locally conformal Kähler (LCK) structure over an LCK manifold. We study the properties of this line bundle over an LCK solvmanifold whose complex structure is left-invariant. Mainly, we prove that this
Yamada Takumi
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