5 papers
On deformations of foliations and characteristic classes
Taro Asuke
We study characteristic classes for deformations of foliations. Those classes include known classes such as the Godbillon--Vey class and the Fuks--Lodder--Kotschick class. We intro…
Notes on projective structures with torsion
Taro Asuke
We show that projective structures with torsion are described in terms of affine connections in a parallel way as in the torsion-free case which is done by Kobayashi and Nagano. Fo…
Formal frames and deformations of affine connections
Taro Asuke
We will introduce formal frames of manifolds, which are a generalization of ordinary frames. Their fundamental properties are discussed. In particular, canonical forms are introduc…
On a characteristic class associated with deformations of foliations
Taro Asuke
A characteristic class for deformations of foliations called the Fuks-Lodder-Kotschick class (FLK class for short) is studied. It seems unknown if there is a real foliation with no…
On Fatou and Julia sets of foliations
Taro Asuke
The Fatou-Julia decomposition is significant in the study of iterations of holomorphic mappings. Such a decomposition can be also considered for foliations in a unified manner. Alt…