11 citations · 30 across the 5 of their papers we have counts for
5 papers
An optimal extension of Perelman's comparison theorem for quadrangles and its applications
Jianguo Cao, Bo Dai, Jiaqiang Mei
In this paper we discuss an extension of Perelman's comparison for quadrangles. Among applications of this new comparison theorem, we study the equidistance evolution of hypersurfa…
An extension of Perelman's soul theorem for singular spaces
Jianguo Cao, Bo Dai, Jiaqiang Mei
In this paper, we study open complete metric spaces with non-negative curvature. Among other things, we establish an extension of Perelman's soul theorem for possibly singular spac…
On the space-time Monopole equation
Bo Dai, Chuu-Lian Terng, Karen Uhlenbeck
The space-time monopole equation is obtained from a dimension reduction of the anti-self dual Yang-Mills equation on . A family of Ward equations is obtained by gauge fix…
Periodic and homoclinic solutions of the modified 2+1 Chiral model
Bo Dai, Chuu-Lian Terng
We use algebraic Backlund transformations (BTs) to construct explicit solutions of the modified 2+1 chiral model from to SU(n), where is a 2-torus. Algebraic BT…
Backlund transformations, Ward solitons, and unitons
Bo Dai, Chuu-Lian Terng
The Ward equation, also called the modified 2+1 chiral model, is obtained by a dimension reduction and a gauge fixing from the self-dual Yang-Mills field equation on . It…