[PDF][PDF] Examples of Riemannian manifolds with non-negative sectional curvature
W Ziller - arXiv preprint math/0701389, 2007 - arxiv.org
Manifolds with non-negative sectional curvature have been of interest since the beginning of
global Riemannian geometry, as illustrated by the theorems of Bonnet-Myers, Synge, and …
global Riemannian geometry, as illustrated by the theorems of Bonnet-Myers, Synge, and …
Open manifolds with non-homeomorphic positively curved souls
D González-Álvaro, M Zibrowius - Mathematical Proceedings of the …, 2020 - cambridge.org
We extend two known existence results to simply connected manifolds with positive
sectional curvature: we show that there exist pairs of simply connected positively-curved …
sectional curvature: we show that there exist pairs of simply connected positively-curved …
An orbit space of a nonlinear involution of 𝑆²× 𝑆² with nonnegative sectional curvature
R Torres - Proceedings of the American Mathematical Society, 2019 - ams.org
We describe a construction of Riemannian metrics of nonnegative sectional curvature on a
closed smooth nonorientable 4-manifold with fundamental group of order two that realizes a …
closed smooth nonorientable 4-manifold with fundamental group of order two that realizes a …
On pull-backs of the universal connection
K Tapp - Canadian Mathematical Bulletin, 2022 - cambridge.org
Narasihman and Ramanan proved in [Amer. J. Math. 83 (1961), 563–572] that an arbitrary
connection in a vector bundle over a base space B can be obtained as the pull-back (via a …
connection in a vector bundle over a base space B can be obtained as the pull-back (via a …
Radially symmetric connections over round spheres
K Tapp - Proceedings of the American Mathematical Society, 2018 - JSTOR
Radially symmetric connections over round spheres Page 1 PROCEEDINGS OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 146, Number 8, August 2018, Pages 3515–3527 …
AMERICAN MATHEMATICAL SOCIETY Volume 146, Number 8, August 2018, Pages 3515–3527 …