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math.SP2005
Asymptotic behavior of -normalized eigenfunctions of the Laplace-Beltrami operator on a closed Riemannian manifold
Bin Xu
Let be the spectral function and the unit band spectral projection operator, with respect to the Laplace-Beltrami operator $\D_M$ on a closed Riemannian manifold $…
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…
math.GT2005
The Degree of Symmetry of Certain Compact Smooth Manifolds II
Bin Xu
In this paper, we give the sharp estimates for the degree of symmetry and the semi-simple degree of symmetry of certain four dimensional fiber bundles by virtue of the rigidity the…