Results 61 to 70 of about 1,038 (85)

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

J Geom Anal, 2022
Datar V, Jacob A.
europepmc   +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 projectivized vector bundles and positive holomorphic sectional curvature

, 2016
We generalize a construction of Hitchin to prove that, given any compact K\"ahler manifold $M$ with positive holomorphic sectional curvature and any holomorphic vector bundle $E$ over $M$, the projectivized vector bundle ${\mathbb P}(E)$ admits a K ...
Alvarez, Angelynn, Heier, Gordon, Zheng, Fangyang   +2 more
core  

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

Complex structures on product manifolds

Complex Manifolds
Let Mi{M}_{i}, for i=1i=1, 2, be a Kähler manifold, and let GG be a compact Lie group acting on Mi{M}_{i} by Kähler isometries. Suppose that the action admits a momentum map μi{\mu }_{i}, and let Ni≔μi−1(0){N}_{i}:= {\mu }_{i}^{-1}\left(0) be a regular ...
Biliotti Leonardo, Minuzzo Alessandro
doaj   +1 more source

Quasi-Statistical Manifolds with Almost Hermitian and Almost Anti-Hermitian Structures

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Let (M, g, ∇) be a 2n-dimensional quasi-statistical manifold that admits a pseudo-Riemannian metric g (or h) and a linear connection ∇ with torsion. This paper aims to study an almost Hermitian structure (g, J ) and an almost anti-Hermitian structure (h,
Aktaş Buşra, Gezer Aydin, Durmaz Olgun
doaj   +1 more source

Holomorphic Sectional Curvature of Complex Finsler Manifolds. [PDF]

J Geom Anal, 2019
Wan X.
europepmc   +1 more source

Hyperholomorphic connections on coherent sheaves and stability

Open Mathematics, 2011
Verbitsky Misha
doaj   +1 more source

Orientations and Geometrisations of Compact Complex Surfaces

, 1997
D. Kotschick
semanticscholar   +1 more source

Harmonic-Killing vector fields

, 2002
C. Dodson, M. T. Pérez, M. E. Vázquez‐Abal   +2 more
semanticscholar   +1 more source