A HARMONIC ENDOMORPHISM IN A SEMI-RIEMANNIAN CONTEXT
17th International Conference on Geometry, Integrability and Quantization, Varna, Bulgaristan, 5 - 10 Haziran 2015, ss.172-181, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Cilt numarası:
- Doi Numarası: 10.7546/giq-17-2016-172-181
- Basıldığı Şehir: Varna
- Basıldığı Ülke: Bulgaristan
- Sayfa Sayıları: ss.172-181
- Karadeniz Teknik Üniversitesi Adresli: Evet
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.