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The G 2 sphere of a 4-manifold

The G 2 sphere of a 4-manifold We bring to light a G 2 structure existing on the unit sphere tangent bundle S M of any given orientable Riemannian 4-manifold M . The associated 3-form φ is co-calibrated if, and only if, M is an Einstein manifold—a result which leads to new examples of co-calibrated G 2 spaces. We hope to be contributing both to the knowledge of special geometries and to the study of 4-manifolds. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Monatshefte für Mathematik Springer Journals

The G 2 sphere of a 4-manifold

Albuquerque, R.; Salavessa, I.
Monatshefte für Mathematik , Volume 158 (4) – Dec 1, 2009
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References (28)

Publisher
Springer Journals
Copyright
Copyright © 2009 by Springer-Verlag
Subject
Mathematics; Mathematics, general
ISSN
0026-9255
eISSN
1436-5081
DOI
10.1007/s00605-008-0053-3
Publisher site
See Article on Publisher Site

Abstract

We bring to light a G 2 structure existing on the unit sphere tangent bundle S M of any given orientable Riemannian 4-manifold M . The associated 3-form φ is co-calibrated if, and only if, M is an Einstein manifold—a result which leads to new examples of co-calibrated G 2 spaces. We hope to be contributing both to the knowledge of special geometries and to the study of 4-manifolds.

Journal

Monatshefte für Mathematik – Springer Journals

Published: Dec 1, 2009

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