Geodesic
Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension $4$
Documenta mathematica, Tome 26 (2021), pp. 1889-1927 Cet article a éte moissonné depuis la source EMS Press

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We classify positively curved Alexandrov spaces of dimension 4 with an isometric circle action up to equivariant homeomorphism, subject to a certain additional condition on the infinitesimal geometry near fixed points which we conjecture is always satisfied.
DOI : 10.4171/dm/860
Classification : 51K10, 53C20, 53C23, 57R18
Mots-clés : circle action, Alexandrov spaces, condition Q, orbifold classification 
@article{10_4171_dm_860,
     author = {Catherine Searle and John Harvey},
     title = {Positively curved {Riemannian} orbifolds and {Alexandrov} spaces with circle symmetry in dimension $4$},
     journal = {Documenta mathematica},
     pages = {1889--1927},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/860},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/860/}
}
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EP  - 1927
VL  - 26
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DO  - 10.4171/dm/860
ID  - 10_4171_dm_860
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%A John Harvey
%T Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension $4$
%J Documenta mathematica
%D 2021
%P 1889-1927
%V 26
%U http://geodesic.mathdoc.fr/articles/10.4171/dm/860/
%R 10.4171/dm/860
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Catherine Searle; John Harvey. Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension $4$. Documenta mathematica, Tome 26 (2021), pp. 1889-1927. doi: 10.4171/dm/860

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