68 citations · 572 across the 30 of their papers we have counts for
6 papers · 1 filter
Nonholonomic Ricci Flows: I. Riemann Metrics and Lagrange-Finsler Geometry
Sergiu I. Vacaru
In this paper, it is elaborated the theory the Ricci flows for manifolds enabled with nonintegrable (nonholonomic) distributions defining nonlinear connection structures. Such mani…
Curve Flows in Lagrange-Finsler Geometry, Bi-Hamiltonian Structures and Solitons
Stephen C. Anco, Sergiu I. Vacaru
Methods in Riemann-Finsler geometry are applied to investigate bi-Hamiltonian structures and related mKdV hierarchies of soliton equations derived geometrically from regular Lagran…
Nonholonomic Ricci Flows and Running Cosmological Constant: 3D Taub-NUT Metrics
Sergiu I. Vacaru, Mihai Visinescu
The common assertion that the Ricci flows of Einstein spaces with cosmological constant can be modelled by certain classes of nonholonomic frame, metric and linear connection defor…
Nonholonomic Ricci Flows and Running Cosmological Constant: I. 4D Taub-NUT Metrics
Sergiu I. Vacaru, Mihai Visinescu
In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geomet…
Curve Flows and Solitonic Hierarchies Generated by (Semi) Riemannian Metrics
Sergiu I. Vacaru
We investigate bi-Hamiltonian structures and related mKdV hierarchy of solitonic equations generated by (semi) Riemannian metrics and curve flow of non-stretching curves. The corre…
Ricci Flows and Solitonic pp--Waves
Sergiu I. Vacaru
We find exact solutions describing Ricci flows of four dimensional pp-waves nonlinearly deformed by two/three dimensional solitons. Such solutions are parametrized by five dimensio…