Tomasz Sobczak --- New approaches to k-contact geometry II

Building on our previous discussion, I will introduce various extensions and new research topics in k-contact geometry. I will examine certain compact k-contact manifolds and explore a potential extension of the Weinstein conjecture to this setting. Additionally, I will present a new form of Hamilton-De Donder-Weyl equations for k-contact manifolds without polarization and describe a theory of characteristics for Lie symmetries of first-order differential equations. Our findings will be illustrated with examples such as the Dirac equation and the Hamilton-Jacobi equation.