Results 1 to 10 of about 39 (38)

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   +1 more source

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

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

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

Objective B-fields and a Hitchin-Kobayashi correspondence [PDF]

, 2020
. A simple trick invoking objective B-fields is employed to refine the concept of characteristic classes for twisted bundles. Then the objective stability and objective Einstein metrics are introduced and a new Hitchin-Kobayashi correspondence is ...
Shuguang Wang
core  

Zero-dimensional Schemes on Abelian Surfaces

, 1994
. The moduli spaces of semistable torsion-free sheaves with c 1 = 0 and c 2 = \Gamma2 and \Gamma3 over a principally polarised complex torus are described explicitly in terms of zero-dimensional subschemes of the torus.
Antony Maciocia
core   +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

Geometrical structures associated to implicit first order dynamical systems with some holonomic constraints

, 2020
. In M.S.C.
Monica Ciobanu, Virgil Obȃdeanu
core  

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
doaj   +1 more source