Showing 2006 · math.DGShow all
3 papers · 2 filters
math.DG2006★ 9 cited
The Lie algebra of the group of bisections
Hirokazu Nishimura
Groupoids provide a more appropriate framework for differential geometry than principal bundles. Synthetic differential geometry is the avant-garde branch of differential geometry,…
math.DG2006★ 2 cited
Another coboundary operator for differential forms with values in the Lie algebra bundle of a group bundle
Hirokazu Nishimura
Kock [Bull. Austral. Math. Soc., 25 (1982), 357-386] has considered differential forms with values in a group in a context where neighborhood relations are available. By doing so,…
math.DG2006
The affine bundle theorem in synthetic differential geometry of jet bundles
Hirokazu Nishimura
In our [Higher-order preconnections in synthetic differential geometry of jet bundles, Beiträge zur Algebra und Geometrie, 45 (2004), 677-696] we have established the affine bundle…