Abstract
In this paper, we estimate the degree of symmetry and the semi-simple degree of symmetry of certain fiber bundles by virtue of the rigidity theorem with respect to the harmonic map due to Schoen and Yau. As a corollary of this estimate, we compute the degree of symmetry and the semi-simple degree of symmetry of certain product manifolds. In addition, by Albanese map, we estimate the degree of symmetry and the semi-simple degree of symmetry of a compact smooth manifold under some topological assumptions.
Citation
Bin XU. "The degree of symmetry of certain compact smooth manifolds." J. Math. Soc. Japan 55 (3) 727 - 737, July, 2003. https://doi.org/10.2969/jmsj/1191419000
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