35 citations · 421 across the 77 of their papers we have counts for
5 papers · 1 filter
Supermetrics on supermanifolds
G. Sardanashvily
By virtue of the well-known theorem, a structure Lie group K of a principal bundle is reducible to its closed subgroup H iff there exists a global section of the quotient bundl…
On the mathematical origin of quantum space-time
G. Sardanashvily
An Euclidean topological space E is homeomorphic to the subset of delta-functions of the space D'(E) of Schwartz distributions on E. Herewith, any smooth function of compact suppor…
Relative non-relativistic mechanics
G. Sardanashvily
Dynamic equations of non-relativistic mechanics are written in covariant-coordinate form in terms of relative velocities and accelerations with respect to an arbitrary reference fr…
Graded infinite order jet manifolds
G. Sardanashvily
The relevant material on differential calculus on graded infinite order jet manifolds and its cohomology is summarized. This mathematics provides the adequate formulation of Lagran…
Axiomatic quantum field theory. Jet formalism
G. Sardanashvily
Jet formalism provides the adequate mathematical formulation of classical field theory, reviewed in hep-th/0612182v1. A formulation of QFT compatible with this classical one is dis…