Results 41 to 50 of about 173 (71)

Real hypersurfaces of indefinite Kaehler manifolds

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 3, Page 545-556, 1993.
A. Bejancu, K. L. Duggal
wiley   +1 more source

On the rigidity of ℂℙ2n × ℂℙ1

Complex Manifolds
We revisit Koiso’s original examples of rigid infinitesimally deformable Einstein metrics. We show how to compute Koiso’s obstruction to the integrability of the infinitesimal deformations on CP2n×CP1{{\mathbb{CP}}}^{2n}\times {{\mathbb{CP}}}^{1} using ...
Hall Stuart James
doaj   +1 more source

Holomorphic Cartan geometries and rational curves

Complex Manifolds, 2016
We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geometry on a lower dimensional compact Kähler manifold.
Biswas Indranil, McKay Benjamin
doaj   +1 more source

Examples of solvmanifolds without LCK structures

Complex Manifolds, 2018
The purpose in this paper is to construct solvmanifolds without LCK structures such that the complex structure is left ...
Sawai Hiroshi
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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

J Geom Anal, 2022
Datar V, Jacob A.
europepmc   +1 more source

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
doaj   +1 more source