We study in its homological class the periodic structure of the C 1 self-maps on the manifolds S n (the n-dimensional sphere), S n × S m (the product space of the n-dimensional with the m-dimensional spheres), ℂP n (the n-dimensional complex projective space) and ℍP n (the n-dimensional quaternion projective space), having all their periodic orbits hyperbolic.
|Journal||Taiwanese Journal of Mathematics|
|Publication status||Published - 19 Jan 2012|
- Complex projective space
- Hyperbolic periodic point
- Lefschetz number
- Lefschetz zeta function
- Quaternion projective space