6 citations · 33 across the 18 of their papers we have counts for
23 papers
Stereographic compactification and affine bi-Lipschitz homeomorphisms
Vincent Grandjean, Roger Oliveira
Let be the inverse of the stereographic projection with centre the north pole . Let be a closed subset of $\mathbb{R}^{q…
One point compactification and Lipschitz normally embedded definable subsets
André Costa, Vincent Grandjean, Maria Michalska
A closed subset of , definable in some given o-minimal structure, is Lipschitz normally embedded in if and only if its one-point compactification is Li…
Equi-singularity of real families and Lipschitz Killing curvature densities at infinity
Nicolas Dutertre, Vincent Grandjean
Fix an o-minimal structure expanding the ordered field of real numbers. Let be a definable family of closed subsets of whose total space $…
Lipschitz trivial values of polynomial mappings
André Costa, Vincent Grandjean, Maria Michalska
Real or complex polynomial mappings between affines spaces admitting a Lipschitz-trivial value are completely characterized.
Double transgressions and Bott-Chern duality
Daniel Cibotaru, Vincent Grandjean, Blaine Lawson
We present a general framework for obtaining currential double transgression formulas on complex manifolds which can be seen as manifestations of Bott-Chern Duality. These results…
Multiplicity and degree relative to a set
Vincent Grandjean, Maria Michalska
The multiplicity (resp. degree) of a function relative to a semianalytic subset of is the greatest (resp. smallest) exponent among numbers such that the…