Results 11 to 20 of about 675 (48)

A Kähler Einstein structure on the tangent bundle of a space form

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 3, Page 183-195, 2001., 2001
We obtain a Kähler Einstein structure on the tangent bundle of a Riemannian manifold of constant negative curvature. Moreover, the holomorphic sectional curvature of this Kähler Einstein structure is constant. Similar results are obtained for a tube around zero section in the tangent bundle, in the case of the Riemannian manifolds of constant positive ...
Vasile Oproiu
wiley   +1 more source

Asymptotic values of hyperbolic monopoles [PDF]

arXiv, 1999
We show that many hyperbolic monopoles can be distinguished from each other via their asymptotic values in contrast to the case of Euclidean monopoles.
arxiv  

On abelian families and holomorphic normal projective connections [PDF]

arXiv, 2006
We prove Chern class equalities for abelian families with a holomorphic normal projective connection.
arxiv  

Monopoles [PDF]

arXiv, 2001
I survey the theory of Bogomolny monopoles and the various approaches to their study. These include the spectral curve, Nahm correspondence and rational maps.
arxiv  

About projectivisation of Mumford semistable bundles over a curve [PDF]

, 2014
We study the existence of canonical K\"ahler metrics on the projectivisation of strictly Mumford semistable holomorphic vector bundles over a complex curve. We also provide an algebro-geometric characterization of these metrics.
arxiv   +1 more source

The Donaldson-Thomas instantons on compact Kahler threefolds and a convergence [PDF]

arXiv, 2008
The contents of this article are now presented in the appendix of arXiv:0805.2195v2.
arxiv  

Holomorphic isometric embeddings of the complex two-plane Grassmannian into quadrics [PDF]

arXiv, 2021
The present article studies holomorphic isometric embeddings of the complex two--plane Grassmannnian into quadrics. We discuss the moduli space of these embeddings up to gauge and image equivalence using a generalisation of do Carmo--Wallach theory.
arxiv  

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  

Sharp lower bound on the curvatures of ASD connections over the cylinder [PDF]

arXiv, 2012
We prove a sharp lower bound on the curvatures of non-flat ASD connections over the cylinder.
arxiv  

A gluing construction for periodic monopoles [PDF]

, 2014
We construct periodic monopoles (with singularities), i.e. monopoles on $\mathbb{R}^{2} \times \mathbb{S}^{1}$ possibly singular at a finite collection of points, by gluing methods.
arxiv   +1 more source