A Generalization of Warped Product Manifolds with Spin(7) Holonomy

摘要

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 if M has Spin(7) holonmy, 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]