40 citations · 89 across the 18 of their papers we have counts for
18 papers
Differential calculus for generalized geometry and geometric Lax flows
Shengda Hu
Employing a class of generalized connections, we describe certain differential complices constructed from…
Commuting Pairs, Generalized para-Kähler Geometry and Born Geometry
Shengda Hu, Ruxandra Moraru, David Svoboda
In this paper, we study the geometries given by commuting pairs of generalized endomorphisms with the property that their product defines a g…
The moduli space of real vector bundles of rank two over a real hyperelliptic curve
Thomas John Baird, Shengda Hu
The Desale-Ramanan Theorem is an isomorphism between the moduli space of rank two vector bundles over complex hyperelliptic curve and the variety of linear subspaces in an intersec…
Suslov problem with the Klebsh-Tisserand potential
Shengda Hu, Manuele Santoprete
In this paper, we study a nonholonomic mechanical system, namely the Suslov problem with the Klebsh-Tisserand potential. We analyze the topology of the level sets defined by the in…
On generalized Kähler geometry on compact Lie groups
Shengda Hu
We present some fundamental facts about a class of generalized Kähler structures defined by invariant complex structures on compact Lie groups. The main computational tool is the B…
A Kobayashi-Hitchin correspondence for -holomorphic bundles
Shengda Hu, Ruxandra Moraru, Reza Seyyedali
In this paper, we introduce the notions of -Hermitian-Einstein metric and -stability for -holomorphic vector bundles on bi-Hermitian manifolds. Moreover, we establish…