Lorenz Schabrun

activity

20092021

collaborators

4 papers

math.DG2021

Thom's gradient conjecture for parabolic systems and the Yang-Mills and Ricci flows

Lorenz Schabrun

In [8], the gradient conjecture of R. Thom was proven for gradient flows of analytic functions on Rn. This result means that the secant at a limit point converges, so that the flow…

math.DG2013

The energy identity for a sequence of Yang-Mills α-connections

Min-Chun Hong, Lorenz Schabrun

We prove that the Yang-Mills $α$ -functional satisfies the Palais-Smale condition. This guarantees the existence of critical points, which are called Yang-Mills $α$ -connections. It…

math.DG2010

Seiberg-Witten Flow in Higher Dimensions

Lorenz Schabrun

We show that for manifolds of dimension $m \geq 5$ , the flow of a Seiberg-Witten-type functional admits a global smooth solution on $M \times [0, \infty)$ .

math.DG2009

Global Existence for the Seiberg-Witten Flow

Min-Chun Hong, Lorenz Schabrun

We introduce the gradient flow of the Seiberg-Witten functional on a compact, orientable Riemannian 4-manifold and show the global existence of a unique smooth solution to the flow…