Nishimura Hirokazu

Axiomatic differential geometry III-3-its landscape-chapter 3:the old kingdom of differential geometers 

Applied Mathematics, 835-845, 2017  Peer-reviewed

The Baker-Campbell-Hausdorff formula and the Zassenhaus formula in synthetic differential geometry 

Mathematics for Applications, 2(1) 61-91, Jun, 2013  Peer-reviewed

Axiomatic differential geometry II-2, differential forms 

Mathematics for Applications, 2(1) 43-60, Jun, 2013  Peer-reviewed

Axiomatic differential geometry I-1, towards model categories of differential geometry 

Mathematics for Applications, 1(2) 171-182, Dec, 2012  Peer-reviewed

Axiomatic differential geometry II-1, vector fields 

Mathematica for Applications, 1(2) 183-195, Dec, 2012  Peer-reviewed

Differential Geometry of Microlinear Frolicher Spaces III 

International Journal of Pure and Applied Mathematics, 68(1) 99-126, Jan, 2011  Peer-reviewed

Differential Geometry of Microlinear Frolicher Spaces II 

International Journal of Pure and Applied Mathematics, 60, Jan, 2010  Peer-reviewed

Differential Geometry of Microlinear Frolicher Spaces I 

International Journal of Pure and Applied Mathematics, 60, Jan, 2010  Peer-reviewed

Microlinearity in Frolicher spaces -beyond the regnant philosophy of manifolds- 

International Journal of Pure and Applied Mathematics, 60(1), Jan, 2010  Peer-reviewed

A much larger class of Frolicher spaces than that of convenient vector spaces may embed into the Cahiers topos 

Far East Journal of Mathematical Sciences, 35(2) 211-223, Jan, 2009  Peer-reviewed

The Jacobi identity beyond Lie algebras 

Far East Journal of Mathematical Sciences, 35(1) 33-48, Jan, 2009  Peer-reviewed

Synthetic vector analysis III From vector analysis to differential forms 

Far East Journal of Mathematical Sciences, 32(3) 335-346, Jan, 2009  Peer-reviewed

Curvature in synthetic differential geometry of groupoids 

Beitrage zur Algebra und Geometrie, 49(2) 369-381, Jan, 2008  Peer-reviewed

The affine bundle theorem in synthetic differential geometry of jet bundles 

Beitrage zur Algebra und Geometrie, 48(2) 351-365, Jan, 2007  Peer-reviewed

Erratum:synthetic differential geometry of higher-order total differentials 

Cahiers de topologie et geometrie differentiells categoriques, 47(3) 207-232, Jan, 2006  Peer-reviewed

Synthetic differential geometry of higher-order total differentials 

Cahiers de topologie et geometrie differentiells categoriques, 47(2) 129-154, Jan, 2006  Peer-reviewed

Higher-order preconnections in synthetic differential geometry of jet bundles 

Beitrage zur Algebra und Geometrie, 45(2) 677-696, Jan, 2004  

Holonomicity in synthetic differential geometry of jet bundles 

Beitrage zur Algebra und Geometrie, 44(2) 471-481, Jan, 2003