معرفی
Lokman BİLEN is an Associate Professor in the Department of Mathematics at Iğdır University's Faculty of Arts and Sciences, specializing in differential geometry with emphasis on tangent and cotangent bundle structures.
Education:
- Doctorate in Geometrics (2011-2014), Atatürk University. Thesis: "Some geometric vector fields on the tangent bundle with the Riemannian metric of the form G=aSgbHgcVg and some results related to the metric G"
- Master's in Geometrics (2010-2011), Atatürk University. Thesis: "On infinite conformal transformations"
- Licence in Mathematics Teaching (1999-2004), Kazım Karabekir Faculty of Education. Thesis: "22222"
His research centers on Riemannian geometry of fiber bundles, investigating metric connections, vector fields (conformal, projective, paraholomorphic), and structures like Kaluza-Klein metrics and golden manifolds. He examines curvature properties and deformations of classical metrics through rigorous mathematical frameworks.
Analysis of his 2015-2022 publications reveals persistent focus on geometric structures of tangent/cotangent bundles, with recurring themes in modified metrics (Sasaki, Berger-type), connection theory, and transformation groups. The work bridges pure geometry with theoretical physics applications, particularly in Kaluza-Klein theory.
Scientific Awards:
No awards documented in source materials.
Research Funding and Advising:
- Principal Investigator for "The Geometry of Kaluza-Klein Metric on Tangent Bundle" (funded by Turkey's Higher Education Council).
No student advisement records available.
Laboratory and Research Teams:
No laboratory or team affiliations specified in provided information.
