349 citations · 1.6k across the 52 of their papers we have counts for
8 papers · 1 filter
Boundary rigidity, and non-rigidity, of projective structures
Jack Borthwick, Niky Kamran
We investigate the property of boundary rigidity for the projective structures associated to torsion-free affine connections on connected analytic manifolds with boundary. We show…
Ramified local isometric embeddings of singular Riemannian metrics
Alberto Enciso, Niky Kamran
In this paper, we are concerned with the existence of local isometric embeddings into Euclidean space for analytic Riemannian metrics , defined on a domain $U\subset \mathbf{R}^…
Local isometric immersions of pseudo-spherical surfaces and k-th order evolution equations
Nabil Kahouadji, Niky Kamran, Keti Tenenblat
We consider the class of evolution equations that describe pseudo-spherical surfaces of the form u\_t = F (u, u/x, ..., ^k u/x^k), k 2…
Third order differential equations and local isometric immersions of pseudospherical surfaces
Tarcísio Castro Silva, Niky Kamran
The class of differential equations describing pseudospherical surfaces enjoys important integrability properties which manifest themselves by the existence of infinite hierarchies…
Local Isometric immersions of pseudo-spherical surfaces and evolution equations
Nabil Kahouadji, Niky Kamran, Keti Tenenblat
The class of differential equations describing pseudo-spherical surfaces, first introduced by Chern and Tenenblat [3], is characterized by the property that to each solution of a d…
Gaussian measures on the of space of Riemannian metrics
Brian Clarke, Dmitry Jakobson, Niky Kamran +3
We introduce Gaussian-type measures on the manifold of all metrics with a fixed volume form on a compact Riemannian manifold of dimension . For this random model we compute…
Second-order equations and local isometric immersions of pseudo-spherical surfaces
Nabil Kahouadji, Niky Kamran, Keti Tenenblat
We consider the class of differential equations that describe pseudo-spherical surfaces of the form and given in Chern-Tenenblat \cite…
An infinite-dimensional manifold structure for analytic Lie pseudogroups of infinite type
Niky Kamran, Thierry Robart
We construct a infinite-dimensional manifold structure adapted to analytic Lie pseudogroups of infinite type. More precisely, we prove that any isotropy subgroup of an analytic Lie…