Imperial College London

ProfessorGustavHolzegel

Faculty of Natural SciencesDepartment of Mathematics

Professor of Pure Mathematics
 
 
 
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Contact

 

g.holzegel CV

 
 
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Location

 

625Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Holzegel:2007:24/004,
author = {Holzegel, G and Schmelzer, T and Warnick, C},
doi = {24/004},
journal = {Classical and Quantum Gravity},
pages = {6201--6217},
title = {Ricci flows connecting Taub–Bolt and Taub–NUT metrics},
url = {http://dx.doi.org/10.1088/0264-9381/24/24/004},
volume = {24},
year = {2007}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We use the Ricci flow with surgery to study four-dimensional SU(2) × U(1)-symmetric metrics on a manifold with fixed boundary given by a squashed 3-sphere. Depending on the initial metric we show that the flow converges to either the Taub–Bolt or the Taub–NUT metric, the latter case potentially requiring surgery at some point in the evolution. The Ricci flow allows us to explore the Euclidean action landscape within this symmetry class. This work extends the recent work of Headrick and Wiseman (2006 Class. Quantum Grav. 23 6683) to more interesting topologies.
AU - Holzegel,G
AU - Schmelzer,T
AU - Warnick,C
DO - 24/004
EP - 6217
PY - 2007///
SN - 1361-6382
SP - 6201
TI - Ricci flows connecting Taub–Bolt and Taub–NUT metrics
T2 - Classical and Quantum Gravity
UR - http://dx.doi.org/10.1088/0264-9381/24/24/004
UR - http://hdl.handle.net/10044/1/32547
VL - 24
ER -