Notes About a New Metric on the Cotangent Bundle

OCAK F.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.12, sa.2, ss.241-249, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 2
  • Basım Tarihi: 2019
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.241-249
  • Anahtar Kelimeler: Cotangent bundle, Riemannian extension, geodesic, para-Nordenian metric
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this article, we construct a new metric (sic) = (R)del + Sigma(m)(i.j=1) a(ji)delta p(j)delta(pi) in the cotangent bundle, where (R)del is the Riemannian extension and a(ji) is a symmetric (2,0)-tensor field on a differentiable manifold.