On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric

Gezer A.

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, cilt.60, sa.3, ss.149-157, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3176/proc.2011.3.02
  • Dergi Adı: PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.149-157
  • Anahtar Kelimeler: almost complex structures, infinitesimal holomorphically projective transformation, Sasaki metric, MANIFOLDS, CURVATURE
  • Atatürk Üniversitesi Adresli: Evet

Özet

The purpose of the present article is to find solutions to a system of partial differential equations that characterize infinitesimal holomorphically projective transformations on the tangent bundle with the Sasaki metric and an adapted almost complex structure. Moreover, it is proved that if the tangent bundle of a Riemannian manifold admits a non-affine infinitesimal holomorphically projective transformation, then the Riemannian manifold is locally flat.