Imperial College London
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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

@article{Foscolo:2017:10.4007/annals.2017.185.1.2,
author = {Foscolo, L and Haskins, M},
doi = {10.4007/annals.2017.185.1.2},
journal = {Annals of Mathematics},
pages = {59--130},
title = {New G(2)-holonomy cones and exotic nearly Kahler structures on S-6 and S-3 x S-3},
url = {http://dx.doi.org/10.4007/annals.2017.185.1.2},
volume = {185},
year = {2017}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - There is a rich theory of so-called (strict) nearly K¨ahler manifolds,almost-Hermitian manifolds generalising the famous almost complex structureon the 6-sphere induced by octonionic multiplication. Nearly K¨ahler6-manifolds play a distinguished role both in the general structure theoryand also because of their connection with singular spaces with holonomygroup the compact exceptional Lie group G2: the metric cone over a Riemannian6-manifold M has holonomy contained in G2 if and only if M isa nearly K¨ahler 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 K¨ahler 6-manifolds by proving the existence of atleast one cohomogeneity one nearly K¨ahler structure on the 6-sphere andon the product of a pair of 3-spheres. We conjecture that these are theonly simply connected (inhomogeneous) cohomogeneity one nearly K¨ahlerstructures in six dimensions.
AU  - Foscolo,L
AU  - Haskins,M
DO  - 10.4007/annals.2017.185.1.2
EP  - 130
PY  - 2017///
SN  - 0003-486X
SP  - 59
TI  - New G(2)-holonomy cones and exotic nearly Kahler structures on S-6 and S-3 x S-3
T2  - Annals of Mathematics
UR  - http://dx.doi.org/10.4007/annals.2017.185.1.2
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000397227800002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/49672
VL  - 185
ER  -
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