Erasmo Caponio

Erasmo Caponio serves as an Associate Professor in the Department of Mechanics, Mathematics and Management at the Polytechnic University of Bari, Italy. His academic specialization lies in Mathematical Analysis (MAT/05), with a research focus bridging differential geometry and theoretical physics. Based at Via Orabona 4, 70125 Bari, he maintains active academic engagement through publications, departmental responsibilities, and direct contact via erasmo.caponio@poliba.it or +39 080 596 3673.

Professor Caponio's research program centers on Finsler and Lorentzian geometries, with significant contributions to mathematical relativity. His work investigates causal structures of spacetimes, geodesic behavior in non-Riemannian settings, black hole physics, and the interplay between topology and geometric analysis. He employs advanced techniques from homotopy theory, control systems, calculus of variations, and partial differential equations to address fundamental questions in general relativity and geometric modeling. Key themes include metric transitions between Lorentzian and Riemannian frameworks, wind Finsler structures, and the geometric foundations of physical phenomena like the Sagnac effect.

Analysis of his 2021-2025 publications reveals a cohesive trajectory exploring Finsler spacetimes through multiple lenses: causal hierarchies with cone Killing fields, splitting theorems beyond Berwald metrics, Randers-Kropina geodesics via control theory, and mean curvature problems in Minkowski spacetime. His research consistently bridges abstract mathematical structures with physical applications, particularly in gravitational physics and spacetime geometry. This work demonstrates exceptional technical depth while maintaining relevance to theoretical physics challenges.

No scientific awards or honors were documented in the available materials. Information regarding academic advising of PhD/Master's students, research grant acquisitions, laboratory leadership, or collaborative team structures was not provided in the source documentation. Such details may require consultation of his full curriculum vitae or institutional records for comprehensive coverage.