Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665802 | Advances in Mathematics | 2014 | 8 Pages |
Abstract
We use the η-invariant of Atiyah–Patodi–Singer to compute the Eells–Kuiper invariant for the Eells–Kuiper quaternionic projective plane. By combining with a known result of Bérard-Bergery, it shows that every Eells–Kuiper quaternionic projective plane carries a Riemannian metric such that all geodesics passing through a certain point are simply closed and of the same length.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Zizhou Tang, Weiping Zhang,