PROJECTIVE VECTOR FIELDS ON THE TANGENT BUNDLE WITH A CLASS OF RIEMANNIAN METRICS

GEZER A., Bilen L.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, cilt.71, sa.5, ss.587-596, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.7546/crabs.2018.05.01
  • Dergi Adı: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.587-596
  • Anahtar Kelimeler: fibre-preserving projective vector field, Riemannian metric, tangent bundle
  • Atatürk Üniversitesi Adresli: Evet

Özet

Let TM be the tangent bundle of an n-dimensional Riemannian manifold (M, g) endowed with a Riemannian metric (G) over tilde which is linear combinations of the three classical lifts of the base metric with constant coefficients. In this paper, we give a characterization of fibre-preserving projective vector fields on (TM, (G) over tilde) and present some results concerning them.