Imperial College London
Alternate

Professor Mark Haskins FLSW

Faculty of Natural Sciences, Department of Mathematics

Visiting Professor
 
 
 
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Contact

 

+44 (0)20 7594 8550m.haskins CV

 
 
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Location

 

668Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@unpublished{Foscolo:2015,
author = {Foscolo, L and Haskins, M},
title = {New G2 holonomy cones and exotic nearly Kaehler structures on the  6-sphere and the product of a pair of 3-spheres},
url = {http://arxiv.org/abs/1501.07838v3},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - UNPB
AB  - There is a rich theory of so-called (strict) nearly Kaehler manifolds,almost-Hermitian manifolds generalising the famous almost complex structure onthe 6-sphere induced by octonionic multiplication. Nearly Kaehler 6-manifoldsplay a distinguished role both in the general structure theory and also becauseof their connection with singular spaces with holonomy group the compactexceptional Lie group G2: the metric cone over a Riemannian 6-manifold M hasholonomy contained in G2 if and only if M is a nearly Kaehler 6-manifold.  A central problem in the field has been the absence of any completeinhomogeneous examples. We prove the existence of the first completeinhomogeneous nearly Kaehler 6-manifolds by proving the existence of at leastone cohomogeneity one nearly Kaehler structure on the 6-sphere and on theproduct of a pair of 3-spheres. We conjecture that these are the only simplyconnected (inhomogeneous) cohomogeneity one nearly Kaehler structures in sixdimensions.
AU  - Foscolo,L
AU  - Haskins,M
PY  - 2015///
TI  - New G2 holonomy cones and exotic nearly Kaehler structures on the  6-sphere and the product of a pair of 3-spheres
UR  - http://arxiv.org/abs/1501.07838v3
UR  - http://dx.doi.org/10.4007/annals.2017.185.1.2
UR  - http://hdl.handle.net/10044/1/43462
ER  -
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