Results 11 to 20 of about 477 (35)

Octonionic Yang-Mills Instanton on Quaternionic Line Bundle of Spin(7) Holonomy [PDF]

, 1999
The total space of the spinor bundle on the four dimensional sphere S^4 is a quaternionic line bundle that admits a metric of Spin(7) holonomy. We consider octonionic Yang-Mills instanton on this eight dimensional gravitational instanton.
Bergshoeff, Bryant, Callan, Callan, Corrigan, De Wit, Dündarer, Evans, Fubini, Gibbons, Grossman, Harvey, Hiroaki Kanno, Joyce, Page, Strominger, Trautman, Yukinori Yasui   +17 more
core   +3 more sources

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

Geometric realizations, curvature decompositions, and Weyl manifolds

, 2010
We show any Weyl curvature model can be geometrically realized by a Weyl ...
Gilkey, Peter, Nikcevic, Stana, Simon, Udo   +2 more
core   +1 more source

The Schouten-van Kampen affine connection adapted to an almost (para) contact metric structure

, 2013
We study the Schouten-van Kampen connection associated to an almost contact or paracontact metric structure. With the help of such a connection, some classes of almost (para) contact metric manifolds are characterized.
Olszak, Zbigniew
core   +1 more source

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

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

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

Jet Geometrical Objects Depending on a Relativistic Time

, 2008
In this paper we study a collection of jet geometrical concepts, we refer to d-tensors, relativistic time dependent semisprays, harmonic curves and nonlinear connections on the 1-jet space J1(R;M), necessary to the construction of a Miron's-like ...
Neagu, Mircea
core   +2 more sources

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