45 citations · 114 across the 31 of their papers we have counts for
10 papers · 1 filter
A cubic identity for the Infeld-van der Waerden field and its application
Ruslan Sharipov
A cubic identity for the Infeld-van der Waerden field is found and its application to verifying an explicit formula for the spinor components of the metric connection is demonstrat…
A note on pairs of metrics in a three-dimensional linear vector space
Ruslan Sharipov
Pairs of metrics in a three-dimensional linear vector space are considered, one of which is a Minkowski type metric with the signature (+,-,-). Such metric pairs are classified and…
A note on pairs of metrics in a two-dimensional linear vector space
Ruslan Sharipov
Pairs of metrics in a two-dimensional linear vector space are considered, one of which is a Minkowski type metric. Their simultaneous diagonalizability is studied and canonical pre…
On deformations of metrics and their associated spinor structures
Ruslan Sharipov
Smooth deformations of a Minkowski type metric in a four-dimensional space-time manifold are considered. Deformations of the basic spin-tensorial fields associated with this metric…
On Killing vector fields of a homogeneous and isotropic universe in closed model
Ruslan Sharipov
Killing vector fields of a closed homogeneous and isotropic universe are studied. It is shown that in general case there is no time-like Killing vector fields in such a universe. T…
On the spinor structure of the homogeneous and isotropic universe in closed model
Ruslan Sharipov
The closed homogeneous and isotropic universe is considered. The bundles of Weyl and Dirac spinors for this universe are explicitly described. Some explicit formulas for the basic…