Results 1 to 10 of about 81 (23)

Quot-scheme limit of Fubini-Study metrics and Donaldson's functional for vector bundles [PDF]

Épijournal de Géométrie Algébrique, 2022
For a holomorphic vector bundle $E$ over a polarised K\"ahler manifold, we establish a direct link between the slope stability of $E$ and the asymptotic behaviour of Donaldson's functional, by defining the Quot-scheme limit of Fubini-Study metrics.
Yoshinori Hashimoto, Julien Keller
doaj   +1 more source

Almost complex structures on coframe bundle with Cheeger-Gromoll metric

Hacettepe Journal of Mathematics and Statistics, 2022
In this paper we introduce several almost complex structures compatible with Cheeger-Gromoll metric on the coframe bundle and investigate their integrability conditions. Mathematics Subject Classification (2020).
A. Salimov, Habil Fattayev
semanticscholar   +1 more source

Kobayashi—Hitchin correspondence for twisted vector bundles

Complex Manifolds, 2021
We prove the Kobayashi—Hitchin correspondence and the approximate Kobayashi—Hitchin correspondence for twisted holomorphic vector bundles on compact Kähler manifolds.
Perego Arvid
doaj   +1 more source

Polystable bundles and representations of their automorphisms

Complex Manifolds, 2022
Using a quasi-linear version of Hodge theory, holomorphic vector bundles in a neighbourhood of a given polystable bundle on a compact Kähler manifold are shown to be (poly)stable if and only if their corresponding classes are (poly)stable in the sense of
Buchdahl Nicholas, Schumacher Georg
doaj   +1 more source

Kobayashi-Hitchin correspondence for tame harmonic bundles II [PDF]

, 2006
Let X be a smooth irreducible projective complex variety with an ample line bundle L, and D be a simple normal crossing hypersurface. We establish the Kobayashi‐ Hitchin correspondence between tame harmonic bundles on X D and L ‐stable parabolic ‐flat ...
T. Mochizuki
semanticscholar   +1 more source

A Kähler Einstein structure on the tangent bundle of a space form

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 183-195, 2001., 2001
We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant. Similar results are obtained for a tube around zero section in the tangent bundle, in the case of the Riemannian manifolds of constant positive ...
Vasile Oproiu
wiley   +1 more source

Uniform L2-estimates for flat nontrivial line bundles on compact complex manifolds

Complex Manifolds
In this study, we extend the uniform L2{L}^{2}-estimate of ∂¯\bar{\partial }-equations for flat nontrivial line bundles, proved for compact Kähler manifolds by Hashimoto and Koike, to compact complex manifolds.
Hashimoto Yoshinori, Koike Takayuki, Matsumura Shin-ichi   +2 more
doaj   +1 more source

SEMI-RIEMANN METRİKLİ DOUBLE TANJANT DEMETİN DİFERENSİYEL GEOMETRİSİ

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009
Özet: Bu çalışmada, diferensiyellenebilir bir manifold üzerindeki bir semi-Riemann metriğin ikinci mertebeden tam yüseltilmesi ile elde edilen nin bir semi-Riemann metriği olduğu gösterildi ve bu metriğin Levi-Civita koneksiyonu bileşenler cinsinden
İsmet AYHAN
doaj  

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

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

Hyperholomorphic connections on coherent sheaves and stability

Open Mathematics, 2011
Verbitsky Misha
doaj   +1 more source