45 citations · 98 across the 15 of their papers we have counts for
4 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…