A HARMONIC ENDOMORPHISM IN A SEMI-RIEMANNIAN CONTEXT


Bejan C., Eken S.

17th International Conference on Geometry, Integrability and Quantization, Varna, Bulgaristan, 5 - 10 Haziran 2015, ss.172-181 identifier

  • Cilt numarası:
  • Doi Numarası: 10.7546/giq-17-2016-172-181
  • Basıldığı Şehir: Varna
  • Basıldığı Ülke: Bulgaristan
  • Sayfa Sayıları: ss.172-181

Özet

On the total space of the cotangent bundle T* M of a Riemannian manifold (M, h) we consider the natural Riemann extension (g) over bar with respect to the Levi-Civita connection of h. In this setting, we construct on T double dagger M a new para-complex structure P, whose harmonicity with respect to (g) over bar is characterized here by using the reduction of (g) over bar to the (classical) Riemann extension.