On Multiplier Hermitian Structures on Compact Kähler Manifolds
نویسنده
چکیده
منابع مشابه
Yang-mills Bar Connections over Compact Kähler Manifolds
In this note we introduce a Yang-Mills bar equation on complex vector bundles E provided with a Hermitian metric over compact Hermitian manifolds. According to the Koszul-Malgrange criterion any holomorphic structure on E can be seen as a solution to this equation. We show the existence of a non-trivial solution to this equation over compact Kähler manifolds as well as a short time existence of...
متن کاملCanonical volume forms on compact Kähler manifolds
We construct a canonical singular hermitian metric with semipositive curvature current on the canonical line bundle of a compact Kähler manifold with pseudoeffective canonical bundle. The method of the construction is a modification of the one in [T]. MSC: 14J15,14J40, 32J18
متن کاملConvexity of the set of k-admissible functions on a compact Kähler manifold
We prove in this article using some convex analysis results of A. S. Lewis the log-concavity of spectral elementary symmetric functions on the space of Hermitian matrices, and the convexity of the set of k-admissible functions on compact Kähler manifolds.
متن کاملQuaternionic Kähler and Spin(7) Metrics Arising from Quaternionic Contact Einstein Structures
We construct left invariant quaternionic contact (qc) structures on Lie groups with zero and non-zero torsion and with non-vanishing quaternionic contact conformal curvature tensor, thus showing the existence of non-flat quaternionic contact manifolds. We prove that the product of the real line with a seven dimensional manifold, equipped with a certain qc structure, has a quaternionic Kähler me...
متن کاملRicci-flat Kähler Manifolds from Supersymmetric Gauge Theories
Using techniques of supersymmetric gauge theories, we present the Ricci-flat metrics on non-compact Kähler manifolds whose conical singularity is repaired by the Hermitian symmetric space. These manifolds can be identified as the complex line bundles over the Hermitian symmetric spaces. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the ...
متن کامل