arXiv subjects

Boshu Ding

Publications and source records attributed to Boshu Ding.

2 recordsLinked to original sources

arXiv2019

Euler Equations of the Generalized Bott-Virasoro Group

In this paper, we will generalize the Bott-Virasoro group, applying the concept of the connection cochain, and derive the Euler equations corresponding to the generalized Bott-Virasoro group. We will show the relationships between the new Euler equations and the old ones. Moreover, we will study the geodesic equation corresponding to the Burgers equation and apply it to the exponential curve.

math.DG↗

arXiv2019

Connection Cochain of Abelian Extensions and Connection $1$-Forms

In this paper, we consider the concept of connection cochain of central extensions introduced by Moriyoshi and apply it to the abelian case. We will show the relationship between connection cochain and connection $1$-form of a principal bundle whose structure group is abelian.

math.DG↗