"Exponential mapping for Lie groupoids. Applications"
Applications. Colloquium Mathematicum, Vol.LIV, 1987, Fasc.1, 39-48.
publications
This paper is a continuation of [3] and [4] above. The following matters are considered:
- inducing Lie subgroupoids by Lie subalgebroids,
- inducing a local homomorphism of Lie groupoids by a homomorphism of Lie algebroids,
- some characterization of subalgebroids,
- images and pre-images by a homomorphism of Lie groupoids.
Some results concerning exponential mapping for Lie groupoids were obtained independently by K.Mackenzie in his book Lie groupoids and Lie algebroids in Differential Geometry, London Mathematical Society Lecture Note Series 124, 1987.