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},
title = {Ricci Flow of Biaxial Bianchi IX Metrics},
url = {http://dx.doi.org/10.1088/0264-9381/24/24/004},
year = {2007}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We use the Ricci flow with surgery to study four-dimensional SU(2) xU(1)-symmetric metrics on a manifold with fixed boundary given by a squashed3-sphere. Depending on the initial metric we show that the flow converges toeither the Taub-Bolt or the Taub-NUT metric, the latter case potentiallyrequiring surgery at some point in the evolution. The Ricci flow allows us toexplore the Euclidean action landscape within this symmetry class. This workextends the recent work of Headrick and Wiseman to more interesting topologies.
AU - Holzegel,G
AU - Schmelzer,T
AU - Warnick,C
DO - 24/004
PY - 2007///
SN - 1361-6382
TI - Ricci Flow of Biaxial Bianchi IX Metrics
T2 - Classical and Quantum Gravity
UR - http://dx.doi.org/10.1088/0264-9381/24/24/004
UR - http://arxiv.org/abs/0706.1694v1
ER -