Abstract
In this paper, using the group structures of the spheres $S^{1}$, $S^{3}$ and the results of Atiyah-Patodi-Singer, Donnelly and Morita, we introduce a fixed point formula for periodic automorphisms of compact almost complex manifolds. Our main result is Theorem 1.3. The theorem is refined for a certain case if the almost complex manifold admits an Einstein-Kähler metric.
Citation
Kenji Tsuboi. "A fixed point formula for compact almost complex manifolds." J. Math. Kyoto Univ. 42 (1) 1 - 20, 2002. https://doi.org/10.1215/kjm/1250284707
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