most citedQuantization of the Geodesic flow on Quaternion Projective Spaces

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math.DG2003

A Kaehler structure on the punctured cotangent bundle of the Cayley projective plane

Kenro Furutani

We construct a Kaehler structure on the punctured cotangent bundle of the Cayley projective plane whose Kaehler form coincides with the natural symplectic form on the cotangent bun…

math.DG2003★ 1 cited

Quantization of the Geodesic flow on Quaternion Projective Spaces

Kenro Furutani

We study a problem of the geometric quantization for the quaternion projective space. First we explain a Kaehler structure on the punctured cotangent bundle of the quaternion proje…

math.DG2003

Maslov index in the infinite dimension and a splitting formula for a spectral flow

Kenro Furutani, Nobukazu Otsuki

First, we prove a local spectral flow formula (Theorem 3.7) for a differentiable curve of selfadjoint Fredholm operators. This formula enables us to prove in a simple way a general…