4 citations · 9 across the 6 of their papers we have counts for
6 papers
On rectifiability in Heisenberg groups without a lower density condition
Kennedy Obinna Idu
We resolve a problem posed by Mattila, Serapioni and Serra Cassano concerning the role of density assumptions in the characterization of rectifiable sets of low codimension in Heis…
The planar Plateau's problem via capillarity
Kennedy Obinna Idu
The Plateau's problem seeks to determine a surface of minimal area which spans a given boundary. It is widely studied for its varied mathematical formulations, applications and rel…
Alexandrov's estimate revisited
Charles Griffin, Kennedy Obinna Idu, Robert L. Jerrard
Alexandrov's estimate states that if is a bounded open convex domain in and is a convex solution of the Monge-Ampere equation $\det D^…
-rectifiability in low codimension in Heisenberg groups
Kennedy Obinna Idu, Francesco Paolo Maiale
A natural notion of higher order rectifiability is introduced for subsets of Heisenberg groups in terms of covering a set almost everywhere by a countable union of $…
Characterizations of -rectifiability in homogenous groups
Kennedy Obinna Idu, Valentino Magnani, Francesco Paolo Maiale
A well known notion of -rectifiable set can be formulated in any metric space using Lipschitz images of subsets of . We prove some characterizations of -rectifi…
Geometric criteria for rectifiability
Giacomo Del Nin, Kennedy Obinna Idu
We prove criteria for -rectifiability of subsets of with maps, , in terms of suitable approximate tangent paraboloids. We also pr…