I am currently a PhD student at the final year in Mathematics at the University of Buea, Cameroon, with my research focused on differential geometry, particularly in symplectic and cosymplectic geometry and the related dynamical systems. My doctoral work centers on extending the properties and dynamics of symplectic structures to cosymplectic and locally conformal cosymplectic (lcc) settings, exploring new geometric structures, transformation groups, and dynamical behaviors on these manifolds.
At the Heidelberg Laureate Forum, I hope to share and discuss a central piece of my current research: the study of the cone on cosymplectic groups and the definition of a bi-invariant Lorentz-Finsler metric on this cone. This investigation aims to bridge the gap between the geometric properties of cosymplectic Lie groups and the metric geometry of Finsler spaces, particularly in the context of Lorentzian geometry. These structures have potential applications particularly in the modeling of anisotropic spacetimes in theoretical physics.

Participating in HLF is an extraordinary opportunity for me to engage with leading laureates and early-career researchers in Mathematics and computer science, broadening my exposure to cutting-edge ideas and forging collaborations across disciplines.

Title: Lorentz-Finsler Metric on Cosymplectic transformation

This research explores the geometry of cosymplectic Lie groups by constructing the cone on a cosymplectic group and defining a bi-invariant Lorentz-Finsler metric on it. While symplectic and contact structures have been widely studied, cosymplectic groups and their metric properties remain underdeveloped. By extending bi-invariant metrics to the Lorentz-Finsler setting, this work examines the interplay between Lie group symmetries and anisotropic, indefinite metrics. The study reveals new insights into the topology, invariance properties, and geodesic structure of the cone, offering potential applications in differential geometry and theoretical physics.