23 citations · 30 across the 10 of their papers we have counts for
12 papers
On certain properties of pseudo-Riemannian Bertrand manifolds
D. A. Fedoseev
In the present article we prove and discuss several properties of pseudo-Riemannian Bertrand manifolds, and give an overview of the state of the theory together with problems for f…
Multiplication of quandle structures
Valeriy G. Bardakov, Denis A. Fedoseev
We generalise the construction of -family of quandles and -family of quandles which were introduced in the paper of A. Ishii, M. Iwakiri, Y. Jang, K. Oshiro, and find connect…
Manifold Hypothesis in Data Analysis: Double Geometrically-Probabilistic Approach to Manifold Dimension Estimation
Alexander Ivanov, Gleb Nosovskiy, Alexey Chekunov +7
Manifold hypothesis states that data points in high-dimensional space actually lie in close vicinity of a manifold of much lower dimension. In many cases this hypothesis was empiri…
Manifolds of Triangulations, braid groups of manifolds and the groups
D. A. Fedoseev, I. M. Nikonov, V. O. Manturov
The spaces of triangulations of a given manifold have been widely studied. The celebrated theorem of Pachner~\cite{Pachner} says that any two triangulations of a given manifold can…
Word and Conjugacy Problems in Groups
Denis Fedoseev, Andrey Karpov, Vassily Manturov
Recently the third named author defined a 2-parametric family of groups \cite{gnk}. Those groups may be regarded as a certain generalisation of braid groups. Study of the c…
On Groups and : A Study of Manifolds, Dynamics, and Invariants
Vassily O. Manturov, Denis A. Fedoseev, Seongjeong Kim +1
Recently the first named author defined a 2-parametric family of groups . Those groups may be regarded as analogues of braid groups. Study of the connection between the grou…