Results 11 to 20 of about 439 (45)

A note on the index bundle over the moduli space of monopoles

, 1994
Donaldson has shown that the moduli space of monopoles $M_k$ is diffeomorphic to the space $\Rat_k$ of based rational maps from the two-sphere to itself.
C.H. Taubes, J.C. Hurtubise, John D. S. Jones, M.F. Atiyah, M.F. Atiyah, Michael K. Murray, N.J. Hitchin, N.J. Hitchin, N.S. Manton, R.L. Cohen, S.K. Donaldson, W. Nahm   +11 more
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

Metrizable linear connections in a Lie algebroid [PDF]

, 2010
A linear connection $D$ in a Lie algebroid is said to be metrizable if there exists a Riemannian metric $h$ in the Lie algebroid such that $Dh=0$. Conditions for the linear connection $D$ to be metrizable are investigated.Comment: p.10, no figures ...
Anastasiei, Mihai
core  

Moving frames for cotangent bundles

, 2002
Cartan's moving frames method is a standard tool in riemannian geometry. We set up the machinery for applying moving frames to cotangent bundles and its sub-bundles defined by non-holonomic constraints.Comment: 13 pages, to appear in Rep.
Ehlers, K. M., Koiller, J., Rios, P. de M.   +2 more
core   +1 more source

Stable Yang-Mills connections on Special Holonomy Manifolds

, 2017
We prove that energy minimizing Yang-Mills connections on a compact $G_{2}$-manifold has holonomy equal to $G_{2}$ are $G_{2}$-instantons, subject to an extra condition on the curvature.
Huang, Teng
core   +1 more source

Superconformal symmetry and hyperKaehler manifolds with torsion

, 2001
The geometry arising from Michelson & Strominger's study of N=4B supersymmetric quantum mechanics with superconformal D(2,1;alpha)-symmetry is a hyperKaehler manifold with torsion (HKT) together with a special homothety.
Alekseevsky, Andrew Swann, Gibbons, Grantcharov, Howe, Ivanov, Maldacena, Michelson, Obata, Pedersen, Poon, Swann, Wit, Yat Sun Poon   +13 more
core   +1 more source

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

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  

Hermitian-Yang-Mills Connections on Collapsing Elliptically Fibered K3 Surfaces. [PDF]

J Geom Anal, 2022
Datar V, Jacob A.
europepmc   +1 more source

Hyperholomorphic connections on coherent sheaves and stability

Open Mathematics, 2011
Verbitsky Misha
doaj   +1 more source