45 citations · 100 across the 11 of their papers we have counts for
14 papers · 1 filter
Tensor functions of tensors and the concept of extended tensor fields
Ruslan Sharipov
Tensor fields depending on other tensor fields are considered. The concept of extended tensor fields is introduced and the theory of differentiation for such fields is developed.
On the subset of normality equations describing generalized Legendre transformation
Ruslan Sharipov
Normality equations describe Newtonian dynamical systems admitting normal shift of hypersurfaces. They were first derived in Euclidean geometry, then in Riemannian geometry. Recent…
V-representation for normality equations in geometry of generalized Legendre transformation
Ruslan Sharipov
Normality equations describe Newtonian dynamical systems admitting normal shift of hypersurfaces. These equations were first derived in Euclidean geometry. Then very soon they were…
On the concept of normal shift in non-metric geometry
Ruslan Sharipov
Theory of Newtonian dynamical systems admitting normal shift of hypersurfaces was first developed for the case of Riemannian manifolds. Recently it was generalized for manifolds ge…
Minimal tori in five-dimensional sphere in
Ruslan Sharipov
Special class of surfaces in five-dimensional sphere in is considered. Immersion equations for minimal tori of that class are shown to be reducible to the equation $u_{z\bar…
Comparative analysis for pair of dynamical systems, one of which is Lagrangian
Ruslan Sharipov
It is known that some equations of differential geometry are derived from variational principle in form of Euler-Lagrange equations. The equations of geodesic flow in Riemannian ge…