scholarly journals Orbifold fibrations of Eschenburg spaces

2007 ◽  
Vol 127 (1) ◽  
pp. 159-175 ◽  
Author(s):  
Luis A. Florit ◽  
Wolfgang Ziller
Keyword(s):  
Eschenburg Spaces

Topological properties of Eschenburg spaces and 3-Sasakian manifolds

2007 ◽  
Vol 339 (1) ◽  
pp. 3-20 ◽  
Author(s):  
Ted Chinburg ◽  
Christine Escher ◽  
Wolfgang Ziller
Keyword(s):  
Topological Properties ◽  
Sasakian Manifolds ◽  
Eschenburg Spaces

Eschenburg spaces and bundles over CP2

1995 ◽  
Vol 9 (4) ◽  
Author(s):  
Lucas Chaves ◽  
Alcibiades Rigas
Keyword(s):  
Eschenburg Spaces

scholarly journals Open manifolds with non-homeomorphic positively curved souls

2019 ◽  
Vol 169 (2) ◽  
pp. 357-376 ◽  
Author(s):  
DAVID GONZÁLEZ-ÁLVARO ◽  
MARCUS ZIBROWIUS
Keyword(s):  
Sectional Curvature ◽  
Existence Results ◽  
Positive Answer ◽  
Open Manifold ◽  
Positive Sectional Curvature ◽  
Open Manifolds ◽  
Curved Manifolds ◽  
Eschenburg Spaces ◽  
Simply Connected ◽  
Positively Curved

AbstractWe extend two known existence results to simply connected manifolds with positive sectional curvature: we show that there exist pairs of simply connected positively-curved manifolds that are tangentially homotopy equivalent but not homeomorphic, and we deduce that an open manifold may admit a pair of non-homeomorphic simply connected and positively-curved souls. Examples of such pairs are given by explicit pairs of Eschenburg spaces. To deduce the second statement from the first, we extend our earlier work on the stable converse soul question and show that it has a positive answer for a class of spaces that includes all Eschenburg spaces.

scholarly journals Strong inhomogeneity of Eschenburg spaces

2002 ◽  
Vol 50 (1) ◽  
pp. 125-142 ◽  
Author(s):  
Krishnan Shankar
Keyword(s):  
Strong Inhomogeneity ◽  
Eschenburg Spaces

scholarly journals Symmetries of Eschenburg spaces and the Chern problem

2006 ◽  
Vol 10 (3) ◽  
pp. 647-661 ◽  
Author(s):  
Karsten Grove ◽  
Krishnan Shankar ◽  
Wolfgang Ziller
Keyword(s):  
Eschenburg Spaces

scholarly journals Homeomorphism and diffeomorphism types of Eschenburg spaces

1997 ◽  
Vol 7 (1) ◽  
pp. 41-50 ◽  
Author(s):  
L Astey ◽  
E Micha ◽  
G Pastor
Keyword(s):  
Eschenburg Spaces
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