Results 1 to 10 of about 675 (48)

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

THE GEOMETRY OF TANGENT CONJUGATE CONNECTIONS

, 2015
The notion of conjugate connection is introduced in the almost tangent geometry and its properties are studied from a global point of view. Two variants for this type of connections are also considered in order to find the linear connections making ...
A. Blaga, M. Crășmăreanu
semanticscholar   +1 more source

A Harmonic Endomorphism in a Semi-Riemannian Context

, 2016
On the total space of the cotangent bundle T ∗M of a Riemannian manifold (M,h) we consider the natural Riemann extension ḡ with respect to the Levi-Civita connection of h.
C. Bejan, Şemsi Eken
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, P. Srivastava
semanticscholar   +1 more source

Geometric realizations, curvature decompositions, and Weyl manifolds [PDF]

J.Geom.Phys.61:270-275,2011, 2010
We show any Weyl curvature model can be geometrically realized by a Weyl ...
arxiv   +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