Highly connected 7-manifolds and non-negative sectional curvature
In this article, a six-parameter family of highly connected 7-manifolds which admit an SO(3)-
invariant metric of non-negative sectional curvature is constructed and the Eells-Kuiper …
invariant metric of non-negative sectional curvature is constructed and the Eells-Kuiper …
An exotic sphere with positive sectional curvature
P Petersen, F Wilhelm - arXiv preprint arXiv:0805.0812, 2008 - arxiv.org
arXiv:0805.0812v3 [math.DG] 23 Oct 2008 Page 1 arXiv:0805.0812v3 [math.DG] 23 Oct 2008
AN EXOTIC SPHERE WITH POSITIVE SECTIONAL CURVATURE PETER PETERSEN AND …
AN EXOTIC SPHERE WITH POSITIVE SECTIONAL CURVATURE PETER PETERSEN AND …
On the geometry of some equivariantly related manifolds
LF Cavenaghi, LD Sperança - … Mathematics Research Notices, 2020 - academic.oup.com
We provide geometric realizations of both classical and “exotic”-manifolds such as spheres,
Kervaire manifolds, bundles over spheres, homogeneous spaces, and connected sums …
Kervaire manifolds, bundles over spheres, homogeneous spaces, and connected sums …
Examples of Riemannian manifolds with positive curvature almost everywhere
P Petersen, F Wilhelm - Geometry & Topology, 1999 - msp.org
We show that the unit tangent bundle of S 4 and a real cohomology ℂ P 3 admit Riemannian
metrics with positive sectional curvature almost everywhere. These are the only examples so …
metrics with positive sectional curvature almost everywhere. These are the only examples so …
Positive Ricci curvature on fiber bundles with compact structure group
LF Cavenaghi, LD Sperança - Advances in Geometry, 2022 - degruyter.com
This paper presents a direct and simple proof of a result concerning the existence of metrics
of positive Ricci curvature on the total space of fiber bundles with compact structure groups …
of positive Ricci curvature on the total space of fiber bundles with compact structure groups …
Exotic spheres and curvature
M Joachim, D Wraith - Bulletin of the American Mathematical Society, 2008 - ams.org
EXOTIC SPHERES AND CURVATURE 1. Introduction Exotic spheres are manifolds which
are homeomorphic but not diffeomorphic to a stan Page 1 BULLETIN (New Series) OF THE …
are homeomorphic but not diffeomorphic to a stan Page 1 BULLETIN (New Series) OF THE …
An exotic sphere with positive curvature almost everywhere
F Wilhelm - The Journal of Geometric Analysis, 2001 - Springer
In this article we show that there is an exotic sphere with positive sectional curvature almost
everywhere. In 1974 Gromoll and Meyer found a metric of nonnegative sectional on an …
everywhere. In 1974 Gromoll and Meyer found a metric of nonnegative sectional on an …
Pulling back the Gromoll-Meyer construction and models of exotic spheres
L Sperança - Proceedings of the American Mathematical Society, 2016 - ams.org
The Gromoll-Meyer construction of an exotic 7-sphere is generalized by producing
geometric models of exotic 8-, 10-and Kervaire spheres as quotients of principal bundles …
geometric models of exotic 8-, 10-and Kervaire spheres as quotients of principal bundles …
Positive Ricci curvature through Cheeger deformations
LF Cavenaghi, RJM e Silva, LD Sperança - Collectanea Mathematica, 2024 - Springer
This paper is devoted to a deep analysis of the process known as Cheeger deformation,
applied to manifolds with isometric group actions. Here, we provide new curvature estimates …
applied to manifolds with isometric group actions. Here, we provide new curvature estimates …