A generalization of warped product manifolds with Spin
holonomy. (English) Zbl 1221.53083
Fernandes, Rui Loja (ed.) et al., Geometry and physics. XVI international fall workshop, Lisbon, Portugal, September 5–8, 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0546-2/hbk). AIP Conference Proceedings 1023, 165-171 (2008).
The authors define warped-like product manifolds when the manifold
has fibers which are simply connected and complete, and has a Spin(7) holonomy. They prove that if
warped-like product, then it is isometric to
. Contents include: An introduction (with a review of previous work); Preliminaries (warped products and their generalization); A generalization of warped product manifolds with Spin
holonomy; and a bibliography of ten references. It is indicated that a more extensive discussion will be submitted for publication elsewhere.
|53C29||Issues of holonomy|
|53C27||Spin and Spin geometry|