Let S=G/K be a strongly irreducible, simply connected, compact symmetric space and let G~ be its group of isometries. We classify the symmetric spaces among these that admit free, isometric circle actions. The existence of such actions is important in constructing examples of manifolds with positive sectional curvature.
%0 Journal Article
%1 eschenburg2003isometric
%A Eschenburg, Jost-Hinrich
%A Kollross, Andreas
%A Shankar, Krishnan
%D 2003
%J Geometriae Dedicata
%K myown from:kollross
%P pages35–44
%R 10.1023/B:GEOM.0000006563.15371.a4
%T Free, Isometric Circle Actions on Compact Symmetric Spaces
%V 102
%X Let S=G/K be a strongly irreducible, simply connected, compact symmetric space and let G~ be its group of isometries. We classify the symmetric spaces among these that admit free, isometric circle actions. The existence of such actions is important in constructing examples of manifolds with positive sectional curvature.
@article{eschenburg2003isometric,
abstract = {Let S=G/K be a strongly irreducible, simply connected, compact symmetric space and let G~ be its group of isometries. We classify the symmetric spaces among these that admit free, isometric circle actions. The existence of such actions is important in constructing examples of manifolds with positive sectional curvature.},
added-at = {2021-07-07T17:07:52.000+0200},
author = {Eschenburg, Jost-Hinrich and Kollross, Andreas and Shankar, Krishnan},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/28a790813afad105a81b07b37583685e2/mathematik},
doi = {10.1023/B:GEOM.0000006563.15371.a4},
interhash = {904ed88c555a9a9dac29b020fe8a9923},
intrahash = {8a790813afad105a81b07b37583685e2},
journal = {Geometriae Dedicata},
keywords = {myown from:kollross},
pages = {pages35–44},
timestamp = {2024-07-20T17:11:45.000+0200},
title = {Free, Isometric Circle Actions on Compact Symmetric Spaces},
volume = 102,
year = 2003
}