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- Institute for Nuclear Research and Nuclear EnergyBG100 papers
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15 papers · 1 filter
Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras
Vesselin Drensky, C. K. Gupta
In commutative algebra, a Weitzenböck derivation is a nonzero triangular linear derivation of the polynomial algebra in several variables over a field of chara…
Linear Transports along Paths in Vector Bundles. II. Some Applications
Bozhidar Z. Iliev
The linear transports along paths in vector bundles introduced in Ref. [1] are applied to the special case of tensor bundles over a given differentiable manifold. Links with the tr…
Linear Transports along Paths in Vector Bundles. I. General Theory
Bozhidar Z. Iliev
The (parallel) linear transports along paths in vector bundles are axiomatically described. Their general form and certain properties are found. It is shown that these transports a…
On the product property for the Lempert function
N. Nikolov, W. Zwonek
We study the problem of the product property for the Lempert function with many poles and consider some properties of this function mostly for plane domains.
Eta-Einstein condition on twistor spaces of odd-dimensional Riemannian manifolds
Johann Davidov
In this note, we find the conditions on an odd-dimensional Riemannian manifolds under which its twistor space is eta-Einstein.
Automorphisms fixing a variable of K<x,y,z>
Vesselin Drensky, Jie-Tai Yu
We study automorphisms of the free associative algebra K<x,y,z> over a field K which fix z and such that the images of x, y are linear with respect to x, y. We prove that some of t…