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math.DG2008
The Riemannian manifolds with boundary and large symmetry
Zhi Chen, Yiqian Shi, Bin Xu
Sixty years ago, S. B. Myers and N. E. Steenrod ({\it Ann. of Math.} {\bf 40} (1939), 400-416) showed that the isometry group of a Riemannian manifold without boundary has a struct…
math.DG2005
Compact Group Actions On Closed Manifolds of Non-positive Curvature
Bin Xu
A. Borel proved that, if a finite group acts effectively and continuously on a closed aspherical manifold with centerless fundamental group , then a natural homomor…