On infinitesimal conformal transformations of the tangent bundles with the synectic lift of a Riemannian metric
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.119, sa.3, ss.345-350, 2009 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 119 Sayı: 3
- Basım Tarihi: 2009
- Doi Numarası: 10.1007/s12044-009-0033-0
- Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.345-350
- Anahtar Kelimeler: Fibre-preserving vector fields, infinitesimal projective transformations, Riemannian metric, synectic lift
- Atatürk Üniversitesi Adresli: Evet
Özet
The purpose of the present article is to investigate some relations between the Lie algebra of the infinitesimal fibre-preserving conformal transformations of the tangent bundle of a Riemannian manifold with respect to the synectic lift of the metric tensor and the Lie algebra of infinitesimal projective transformations of the Riemannian manifold itself.