Deformation quantization of almost Kahler models and Lagrange-Finsler spaces
JOURNAL OF MATHEMATICAL PHYSICS, cilt.48, sa.12, 2007 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 48 Sayı: 12
- Basım Tarihi: 2007
- Doi Numarası: 10.1063/1.2821249
- Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kocaeli Üniversitesi Adresli: Evet
Özet
Finsler and Lagrange spaces can be equivalently represented as almost Kahler manifolds endowed with a metric compatible canonical distinguished connection structure generalizing the Levi-Civita connection. The goal of this paper is to perform a natural Fedosov-type deformation quantization of such geometries. All constructions are canonically derived for regular Lagrangians and/or fundamental Finsler functions on tangent bundles. (c) 2007 American Institute of Physics.