5 citations · 19 across the 7 of their papers we have counts for
7 papers
Existence and classification of the Cartan -distribution
Jiro Adachi
The Cartan -distribution is a tangent distribution of rank~ on a -dimensional manifold satisfying certain generic conditions. The necessary and sufficient condition…
Existence and classification of maximally non-integrable distributions of derived length one
Jiro Adachi
The h-principles for maximally non-integrable tangent distributions of derived length one on manifolds are studied in this paper. Such distributions of odd rank are dealt with. The…
Round surgery and contact structures on 3-manifolds
Jiro Adachi
Contact round surgery of contact 3-manifolds is introduced in this paper. By using this method, an alternative proof of the existence of a contact structure on any closed orientabl…
Generalizations of twists of contact structures to higher-dimensions via round surgery
Jiro Adachi
Twists of contact structures in dimension 3 and higher are studied in this paper from a viewpoint of contact round surgery. Three kinds of new modifications of contact structures w…
Plastikstufe with toric core
Jiro Adachi
Plastikstufes and overtwistedness for higher-dimensional contact manifolds are studied in this paper. It is proved that a contact structure is overtwisted if and only if there exis…
Classification of phase singularities for complex scalar waves
Jiro Adachi, Go-o Ishikawa
Motivated by the importance and universal character of phase singularities which are clarified recently, we study the local structure of equi-phase loci near the dislocation locus…