Aleksander Vladimirov Petkov

Aleksander Vladimirov Petkov is an Associate Professor at the Department of Geometry within the Faculty of Mathematics and Informatics at the University of Sofia. His research focuses on differential geometry, geometric analysis, and spectral geometry, particularly in the context of quaternionic contact manifolds and sub-Riemannian structures. He holds a PhD in geometry, with a dissertation titled Riemannian and Sub-Riemannian Manifolds with Structures.

His work explores eigenvalue problems, heat equations, and the qc Yamabe problem, contributing to the understanding of geometric properties and spectral behavior in non-Riemannian settings. Recent publications include studies on HKT manifolds, Obata sphere theorems, and sharp eigenvalue bounds for sub-Laplacians.

Petkov has authored/co-authored papers in journals like International Mathematics Research Notices and Journal of Geometric Analysis, with ongoing preprints focusing on geometric flows and conformal structures. His research bridges pure geometry with analytical methods, emphasizing both theoretical foundations and specific manifold classifications.