On infinitesimal conformal transformations of the tangent bundles with the synectic lift of a Riemannian metric

Gezer A.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.119, sa.3, ss.345-350, 2009 (SCI-Expanded) identifier identifier

  • 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.