Results 61 to 70 of about 2,185 (102)

A mass for asymptotically complex hyperbolic manifolds [PDF]

arXiv, 2009
We prove a positive mass theorem for complete K\"ahler manifolds that are asymptotic to the complex hyperbolic space.
arxiv  

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

Relative K-stability of extremal metrics [PDF]

arXiv, 2009
We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a maximal torus of automorphisms.
arxiv  

Stability, birational transformations and the Kahler-Einstein problem [PDF]

arXiv, 2010
We define a new notion of "b-stability" for a polarised algebraic variety, adapted to the existence problem for Kahler-Einstein metrics on Fano manifolds.
arxiv  

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

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  

About integrability of almost complex structures on strictly Nearly Kähler 6-manifolds [PDF]

arXiv, 2013
We show that any almost complex structure, positively tamed with $\omega$ on nearly K\"{a}hler 6-manifold $(M,g,J,\omega)$ is not ...
arxiv  

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

H-functional and Matsushima type decomposition theorem

, 2019
The H-functional characterizes K\"ahler-Ricci solitons as its critical points, and also plays an important role of the existence problem for K\"ahler-Einstein metrics. In this paper we prove the Hessian formula for the H-functional at its critical points,
Nakamura, Satoshi
core  

Berezin-Engliš' quantization of Cartan-Hartogs domains [PDF]

arXiv, 2014
We prove the existence of a Berezin-Engli\v{s} quantization for Cartan-Hartogs domains.
arxiv