Results 1 to 10 of about 477 (35)
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
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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
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
Applications of the Ashtekar gravity to four dimensional hyperk\"ahler geometry and Yang-Mills Instantons [PDF]
, 1996 The Ashtekar-Mason-Newman equations are used to construct the hyperk\"ahler metrics on four dimensional manifolds. These equations are closely related to anti self-dual Yang-Mills equations of the infinite dimensional gauge Lie algebras of all volume ...
Gava E. +7 more
core +2 more sources
The geometric sense of R. Sasaki connection [PDF]
, 2002 For the Riemannian manifold $M^{n}$ two special connections on the sum of the tangent bundle $TM^{n}$ and the trivial one-dimensional bundle are constructed. These connections are flat if and only if the space $M^{n}$ has a constant sectional curvature $\
Alexey V Shchepetilov +9 more
core +4 more sources
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
Yang-Mills equation for stable Higgs sheaves [PDF]
, 2008 We establish a Kobayashi-Hitchin correspondence for the stable Higgs sheaves on a compact Kaehler manifold. Using it, we also obtain a Kobayashi-Hitchin correspondence for the stable Higgs G-sheaves, where G is any complex reductive linear algebraic ...
GEORG SCHUMACHER +3 more
core +3 more sources
Segre forms and Kobayashi-L\"ubke inequality [PDF]
, 2016 Starting from the description of Segre forms as direct images of (powers of) the first Chern form of the (anti)tautological line bundle on the projectivized bundle of a holomorphic hermitian vector bundle, we derive a version of the pointwise Kobayashi-L\
Diverio, Simone
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