On the curvature of biquotients
M Kerin - Mathematische Annalen, 2012 - Springer
As a means to better understanding manifolds with positive curvature, there has been much
recent interest in the study of non-negatively curved manifolds which contain either a point …
recent interest in the study of non-negatively curved manifolds which contain either a point …
Topology of non-negatively curved manifolds
Topology of non-negatively curved manifolds | Annals of Global Analysis and Geometry Skip to
main content SpringerLink Account Menu Find a journal Publish with us Search Cart 1.Home …
main content SpringerLink Account Menu Find a journal Publish with us Search Cart 1.Home …
Topological properties of Eschenburg spaces and 3-Sasakian manifolds
We examine topological properties of the seven-dimensional positively curved Eschenburg
biquotients and find many examples which are homeomorphic but not diffeomorphic. A …
biquotients and find many examples which are homeomorphic but not diffeomorphic. A …
On the topology of positively curved Bazaikin spaces
LA Florit, W Ziller - Journal of the European Mathematical Society, 2009 - ems.press
In this note we study the topology of the positively curved Bazaikin spaces. We show that the
only Bazaikin space that is homotopically equivalent to a homogeneous space is the Berger …
only Bazaikin space that is homotopically equivalent to a homogeneous space is the Berger …
[PDF][PDF] Symmetries of Eschenburg spaces and the Chern problem
To advance our basic knowledge of manifolds with positive (sectional) curvature it is
essential to search for new examples, and to get a deeper understanding of the known ones …
essential to search for new examples, and to get a deeper understanding of the known ones …
Free, isometric circle actions on compact symmetric spaces
JH Eschenburg, A Kollross, K Shankar - Geometriae Dedicata, 2003 - Springer
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 …
and let ̃ G be its group of isometries. We classify the symmetric spaces among these that …
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 …
[图书][B] Isometry groups of homogeneous, positively curved manifolds
K Shankar - 1999 - search.proquest.com
A general problem in Riemannian geometry is to find and describe manifolds M n that admit
a complete metric of positive sectional curvature. If the curvature is allowed to go to zero or …
a complete metric of positive sectional curvature. If the curvature is allowed to go to zero or …
On the homotopy type of Eschenburg spaces with positive sectional curvature
L Astey, E Micha, G Pastor - Proceedings of the American Mathematical …, 2004 - ams.org
ON THE HOMOTOPY TYPE OF ESCHENBURG SPACES WITH POSITIVE SECTIONAL
CURVATURE 1. Introduction The Eschenburg spaces introduced in Page 1 …
CURVATURE 1. Introduction The Eschenburg spaces introduced in Page 1 …
On the topology of G-manifolds with finitely many non-principal orbits
S Bechtluft-Sachs, DJ Wraith - Topology and its Applications, 2012 - Elsevier
We study the topology of compact manifolds with a Lie group action for which there are only
finitely many non-principal orbits, and describe the possible orbit spaces which can occur. If …
finitely many non-principal orbits, and describe the possible orbit spaces which can occur. If …