A generalization of warped product manifolds with Spin(7) holonomy

Bilge A. H., Uguz S.

16th International Fall Workshop on Geometry and Physics, Lisbon, Portekiz, 5 - 08 Eylül 2007, cilt.1023, ss.165-171 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1023
  • Basıldığı Şehir: Lisbon
  • Basıldığı Ülke: Portekiz
  • Sayfa Sayıları: ss.165-171
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

We define warped-like product manifolds and prove that if M is a 3+3+2 warpedlike product manifold where the fibers are connected, simply connected and complete and if M has Spin(7) holonomy, then the fibers are isometric to S-3. This work is an abbreviated version of the paper [Bilge, A.H., Uguz, S., Warped-like products manifolds with Spin(7) holonomy, submitted for publication].