31 citations · 45 across the 7 of their papers we have counts for
8 papers
Milnor fibrations on rho-tubes and rho-spheres for real analytic map germs
Maico Ribeiro, Mateus de Melo, Gabriel Santos
For a real analytic map germ , we study Milnor fibrations obtained by replacing the squared Euclidean distance with an analytic control funct…
Universally injective and integral contractions on relative Lipschitz saturation of algebras
Thiago da Silva, Maico Ribeiro
In this work, we obtain contraction results for a class of diagrams of ring morphisms which strictly includes the ones obtained by Lipman. Further, we present some applications on…
Topology of first integrals via Milnor fibrations II
Fernando Reis, Maico Ribeiro, Euripedes da Silva
This survey is the continuation of a series of works aimed at applying tools from Singularity Theory to Differential Equations. More precisely, we utilize the powerfull Milnor's Fi…
Some remarks about -regularity for real analytic maps
Maico Ribeiro, Ivan Santamaria, Thiago da Silva
In this paper, we discuss the concept of -regularity of analytic map germs and its close relationship with the existence of locally trivial smooth fibrations, known as the Milno…
Tameness conditions and the Milnor fibrations for composite singularities
R. N. Araújo dos Santos, D. Dreibelbis, M. F. Ribeiro +1
In this paper, we introduce a new regularity condition that characterizes the tameness of a composite singularity in a sharp way. Our approach provides a natural tool…
Milnor-Hamm sphere fibrations and the equivalence problem
Raimundo N. Araújo dos Santos, Maico F. Ribeiro, Mihai Tibar
We introduce the sphere fibration for real map germs with radial discriminant and we address the problem of its equivalence with the Milnor-Hamm tube fibration. Under natural condi…
Geometrical conditions for the existence of a Milnor vector field
Raimundo Araújo Dos Santos, Maico F. Ribeiro
We introduce several sufficient conditions to guarantee the existence of the Milnor vector field for new classes of singularities of map germs. This special vector field is related…
Fibrations of highly singular map germs
Maico F. Ribeiro, Raimundo N. Araújo dos Santos, Mihai Tibăr
We define local fibration structures for real map germs with strictly positive dimensional discriminant: a local fibration structure over the complement of the discriminant, and a…