2 citations · 3 across the 6 of their papers we have counts for
6 papers
High-level convexity for products of squared Euclidean distance functions
Tudor Micu, Cornel Pintea, George C. Ţurcaş
We study smooth functions on Euclidean space whose Hessian is positive definite outside a bounded set, with emphasis on products of squared distance functions. More precisely, we f…
Convex and quasiconvex truncations of nonconvex functions
Cornel Pintea
We consider nonconvex real valued functions whose truncations are either quasiconvex or even convex starting with a certain level. Among them, the -smooth functions whose leve…
Closed convex sets of Motzkin and generalized Minkowski types
Juan Enrique Martínez-Legaz, Cornel Pintea
The aim of this paper is twofold. On one hand the generalized Minkowski sets are defined and characterized. On the other hand, the Motzkin decomposable sets, along with their epigr…
Products of functions with bounded complement
Andi Brojbeanu, Cornel Pintea
We denote by the set of all points such that the Hessian matrix of the -smooth function is…
Manifolds which admit maps with finitely many critical points into spheres of small dimensions
Louis Funar, Cornel Pintea
We construct, for and , closed manifolds with finite nonzero ), where denotes the minimum number of critical points of a smooth…
Examples of smooth maps with finitely many critical points in dimensions , and
Louis Funar, Cornel Pintea, Ping Zhang
We consider manifolds which admit smooth maps into a connected sum of with only finitely many critical points, for , and compute the minimal…