108 citations · 189 across the 17 of their papers we have counts for
17 papers
Poisson brackets of hydrodynamic type and their generalizations
A. Ya. Maltsev, S. P. Novikov
In this paper, we consider Hamiltonian structures of hydrodynamic type and some of their generalizations. In particular, we discuss the questions concerning the structure and speci…
New Discretization of Complex Analysis: The Euclidean and Hyperbolic Planes
S. P. Novikov
Few years ago we developed jointly with I.Dynnikov new discretization of complex analysis (DCA) based on the two-dimensional manifolds with colored black/white triangulation. Espec…
Dynamical Systems and Differential Forms. Low Dimensional Hamiltonian Systems
S. P. Novikov
The theory of differential forms began with a discovery of Poincare who found conservation laws of a new type for Hamiltonian systems - The Integral Invariants. Even in the absence…
Topology of Foliations given by the real part of holomorphic 1-forms
S. P. Novikov
Topology of Foliations of the Riemann Surfaces given by the real part of generic holomorphic 1-forms, is studied. Our approach is based on the notion of Transversal Canonical Basis…
On the Metric Independent Exotic Homology
S. P. Novikov
Different types of nonstandard homology groups based on the various subcomplexes of differential forms are considered as a continuation of the recent authors works. Some of them re…
Geometry of the triangle equation on two-manifolds
I. A. Dynnikov, S. P. Novikov
A non-traditional approach to the discretization of differential-geometrical connections was suggested by the authors in 1997. At the same time we started studying first order diff…