Article ID Journal Published Year Pages File Type
4665802 Advances in Mathematics 2014 8 Pages PDF
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)
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