FOLIATIONS, GEOMETRY, AND TOPOLOGY: PAUL SCHWEITZER FESTSCHRIFT 498 67-81 2009年 [査読有り]
This is an introductory survey on the theory of classifying spaces for groupoid structures. The most important groupoid is the groupoid Gamma(q) of germs of local diffeomorphisms of R(q). Then the classifying space B Gamma(q) classifies the foliat...
Annales de l'Institut Fourier 58(2) 723-731 2008年 [査読有り]
Let ℱ be a transversely orientable transversely real-analytic codimension one minimal foliation of a paracompact manifold M. We show that if the fundamental group of each leaf of ℱ is isomorphic to Z, then ℱ is without holonomy. We also show that ...
We study the eigenvalue problem for some special class of anti-triangular
matrices. Though the eigenvalue problem is quite classical, as far as we know,
almost nothing is known about properties of eigenvalues for anti-triangular
matrices. In this ...