Results 1 to 10 of about 103 (45)

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

Gauge theory at asymptotical distance and singularity

, 2016
One of the fundamental problems of gravity to be an infinite range interaction is whether it has a gauge group via the internal structure, so that Einstein type theories couldn’t explain it yet. Gauge groups in Yang Mill type theories, i.e. weak [11] and
I. Sener
semanticscholar   +1 more source

A gauge theory of conformal Lie groups

, 2015
One studies a gauge theory of conformal Lie group C(d) over 3 and 4 dimensions. A gauge field with the gauge group C(d) doesn’t present the second Chern class because of F ∧F = 0 over 4 dimension, but the topological invariants are created by the first ...
I. Sener
semanticscholar   +1 more source

Concircular trasformation of a quarter symmetric metric connection in an SP-Sasakian manifold

, 2013
In 1982, P. Stavre [8] defined semi-symmetric S-concircular and S-conharmonic connections and established some results. Anologous to this we have defined a concircular transformation on quarter symmetric metric connection in an SP-Sasakian manifold.
Kalpana, Priti Srivastava
semanticscholar   +1 more source

Gauge invariance and variational trivial problems on the bundle of connections

, 2003
Given a principal bundle P → M we classify all first order Lagrangian densities on the bundle of connectionsassociated to P that are invariant under the Lie algebra of infinitesimal automorphisms.
M. C. López, J. M. Masqué, T. Ratiu
semanticscholar   +1 more source