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

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

We define warped-like product manifolds and prove that if M is a 3+3+2 warped-like product manifold where the fibers are connected, simply connected and complete and if M has Spin(7) holonomy, then the fibers are isometric to S3. This work is an abbreviated version of the paper [Bilge, A. H., U'...

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Hauptverfasser: Bilge, Ayse H, Uguz, Selman
Format: Tagungsbericht
Sprache:eng
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Zusammenfassung:We define warped-like product manifolds and prove that if M is a 3+3+2 warped-like product manifold where the fibers are connected, simply connected and complete and if M has Spin(7) holonomy, then the fibers are isometric to S3. This work is an abbreviated version of the paper [Bilge, A. H., U'uz, S., Warped-like products manifolds with Spin(7) holonomy, submitted for publication].
ISSN:0094-243X
DOI:10.1063/1.2958169