8 citations · 16 across the 22 of their papers we have counts for
24 papers
Lifting maps from the symmetrized polydisk in small dimensions
Nikolai Nikolov, Pascal J. Thomas, Duc-Anh Tran
The spectral unit ball is the set of all matrices with spectral radius less than . Let stand for the coefficients of its characteristic…
On extremums of sums of powered distances to a finite set of points
Nikolai Nikolov, Rafael Rafailov
In this paper we investigate the extremal properties of the sum where are vertices of a regular simplex, a cross-polytope (orthoplex) or a cube and…
Real and complex k-planes in convex hypersurfaces
Nikolai Nikolov
It is shown that that the rank of the second fundamental form (resp. the Levi form) of a -smooth convex hypersurface in (resp. ) does…
On the sum of powered distances to certain sets of points on the circle
Nikolai Nikolov, Rafael Rafailov
In this paper we consider an extremal problem in geometry. Let be a real number and , and be arbitrary points on the unit circle . We give full characterization o…
Two-dimensional slices of non-pseudoconvex open sets
Nikolai Nikolov, Peter Pflug
Let be a non-pseudoconvex open set in $\C^3$ and be the union of all two-dimensional planes with non-empty and non-pseudoconvex intersection with Sufficient conditions…
Estimates for invariant metrics near a non-semipositive boundary point
Nguyen Quang Dieu, Nikolai Nikolov, Pascal J. Thomas
We find the precise growth of some invariant metrics near a point on the boundary of a domain where the Levi form has at least one negative eigenvalue. We also introduce a new inva…