1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AG2013★ 1 cited
Bi-Lipschitz A-equivalence of K-equivalent map germs
Joao Carlos Ferreira Costa, Takashi Nishimura, Maria Aparecida Soares Ruas
In this paper, two sufficient conditions are provided for given two K-equivalent map-germs to be bi-Lipschitz A-equivalent. These are Lipschitz analogues of the known results on C^…
math.GT2012
Distance-squared mappings
Shunsuke Ichiki, Takashi Nishimura
A distance-squared function is one of the most significant functions in the application of singularity theory to differential geometry. In this paper, we define naturally extended…
math.GT2012★ 1 cited
Wave front evolution and pedal evolution
Takashi Nishimura
The calculus correspondence has been known to exist between generic pedal evolutions and generic wave front evolutions. In this paper, we first extend the known results on the calc…