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

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

2003-07-19

arxiv.org/abs/math/0307267v1

Mathematics

Differential Geometry

20 pages, no figures

Scientific paper

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 bundle and we show that the geodesic flow action is holomorphic and is expressed in a quite explicit form. We also give an embedding of the punctured cotangent bundle of the Cayley projective plane into the space of 8 times 8 complex matrices.

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