Results 21 to 30 of about 675 (48)

Some special curves in the unit tangent bundles of surfaces [PDF]

arXiv, 2022
The aim of this paper is to give some characterizations for N-Legendre and N-slant curves in the unit tangent bundles of surfaces endowed with natural diagonal lifted structures.
arxiv  

Curvature properties of Weyl geometries [PDF]

arXiv, 2010
We examine relations between geometry and the associated curvature decompositions in Weyl geometry.
arxiv  

An open four-manifold having no instanton [PDF]

arXiv, 2010
Taubes proved that all compact oriented four-manifolds admit non-flat instantons. We show that there exists a non-compact oriented four-manifold having no non-flat instanton.
arxiv  

Ricci-Positive geodesic flows and point-completion of static monopole fields [PDF]

, 2018
We use methods of complex analysis to extend the bundle structure across a removable point-singularity in a Sasakian three-manifold.
arxiv   +1 more source

Hyperbolic monopoles and holomorphic spheres [PDF]

arXiv, 2001
We associate to an SU(2) hyperbolic monopole a holomorphic sphere embedded in projective space and use this to uncover various features of the monopole.
arxiv  

On Singular Connections and Geometrically Atomic Maps [PDF]

arXiv, 2003
We prove that the introduction of the class of geometrically atomic bundle maps by Harvey and Lawson in their theory of singular connections is not necessary because an arbitrary map satisfies the conditions of geometric atomicity.
arxiv  

Yang-Mills Theory for Noncommutative Flows [PDF]

arXiv, 2004
Shown is a new duality for the moduli spaces of Yang-Mills connections over noncommutative vector bundles, using which one sees that total data of quantum field theory are preserved by dimension reduction.
arxiv  

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

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

The rectifiability of singular sets for geometric flows (I)--Yang-Mills flow [PDF]

arXiv, 2007
We prove that monotonicity of density and energy inequality imply the rectifiability of the singular sets for Yang-Mills flow.
arxiv  

g-Natural metrics of constant sectional curvature [PDF]

arXiv, 2008
We prove that the tangent bundle endowed with a g-natural metrics has constant sectional curvature if and only if it is flat, and then we give a characterization of flat g-natural metrics on tangent bundles.
arxiv