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We characterize cohomogeneity one manifolds and homogeneous spaces with a compact Lie group action admitting an invariant metric with positive scalar curvature.
Comment: Final version. To appear in the Bulletin of the London Mathematical Society
Comment: Final version. To appear in the Bulletin of the London Mathematical Society
Externí odkaz:
http://arxiv.org/abs/2009.13142
We provide several results on the existence of metrics of non-negative sectional curvature on vector bundles over certain cohomogeneity one manifolds and homogeneous spaces up to suitable stabilization. Beside explicit constructions of the metrics, t
Externí odkaz:
http://arxiv.org/abs/1910.05248
Autor:
Samani, Elahe Khalili
Apart from spheres and an infinite family of manifolds in dimension seven, Bazaikin spaces are the only known examples of simply connected Riemannian manifolds with positive sectional curvature in odd dimensions. We consider positively curved Riemann
Externí odkaz:
http://arxiv.org/abs/1905.11770
Autor:
Wiemeler, Michael
Publikováno v:
J. Topol. Anal. 12 (2020) No. 4, 1103-1156
We construct geometric generators of the effective $S^1$-equivariant Spin- (and oriented) bordism groups with two inverted. We apply this construction to the question of which $S^1$-manifolds admit invariant metrics of positive scalar curvature. It t
Externí odkaz:
http://arxiv.org/abs/1506.04073
Autor:
Grove, Karsten, Ziller, Wolfgang
A group action is called polar if there exists an immersed submanifold (a section) which intersects all orbits orthogonally. Such group actions have been studied extensively on symmetric spaces. We show how to construct a manifold admitting a polar g
Externí odkaz:
http://arxiv.org/abs/1208.0976
Autor:
Wiemeler, Michael
We prove that every quasitoric manifold admits an invariant metric of positive scalar curvature.
Comment: 4 pages, results improved, comments are welcome
Comment: 4 pages, results improved, comments are welcome
Externí odkaz:
http://arxiv.org/abs/1202.0146
Publikováno v:
Philipp Reiser
Bulletin of the London Mathematical Society, 54 (1), 71-82
Bulletin of the London Mathematical Society, 2022, Vol.54(1), pp.71-82 [Peer Reviewed Journal]
Bulletin of the London Mathematical Society, 54 (1), 71-82
Bulletin of the London Mathematical Society, 2022, Vol.54(1), pp.71-82 [Peer Reviewed Journal]
We characterize cohomogeneity one manifolds and homogeneous spaces with a compact Lie group action admitting an invariant metric with positive scalar curvature.
Final version. To appear in the Bulletin of the London Mathematical Society
Final version. To appear in the Bulletin of the London Mathematical Society
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::207afc53c139fabfacfaf2426bbdf487
http://arxiv.org/abs/2009.13142
http://arxiv.org/abs/2009.13142
Autor:
Michael Wiemeler
We construct geometric generators of the effective $S^1$-equivariant Spin- (and oriented) bordism groups with two inverted. We apply this construction to the question of which $S^1$-manifolds admit invariant metrics of positive scalar curvature. It t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a51e4cdbafde63f21c6cd25a3670609
Autor:
Wiemeler, Michael
Publikováno v:
Journal of Topology & Analysis; Dec2020, Vol. 12 Issue 4, p1103-1156, 54p
Autor:
Corro, Diego, Galaz-García, Fernando
Publikováno v:
Proceedings of the American Mathematical Society; Jul2020, Vol. 148 Issue 7, p3087-3097, 11p