7 citations · 11 across the 10 of their papers we have counts for
4 papers · 1 filter
Isometry classification of cubic homogeneous 3-dimensional forms
Sergey S. Kokarev
The problem of classification of cubic homogeneous Finslerian 3D metrics with respect to their isometries is considered. It is shown, that there are 6 different general affine type…
Metric bingles and tringles in H_3
Dmitriy G. Pavlov, Sergey S. Kokarev
In the 3-dimensional Berwald-Moor space are bingles and tringles constructed, as additive characteristic objects associated to couples and triples of unit vectors - practically len…
Additive angles in H_3
Dmitriy G. Pavlov, Sergey S. Kokarev
Within the framework of Berwald-Moor Geometry in H_3, the paper studies the construction of additive poly-angles (bingles and tringles). It is shown that, considering additiveness…
Deformational Structures on Smooth Manifolds
Sergey S. Kokarev
Deformational structures, in many aspects generalizing standard elasticity theory, are investigated in abstract form. Within free deformational structures we define algebra of defo…