Quasi-triangle inequality for absolute correlation distance
We show that absolute correlation distance satisfies a K-relaxed triangle inequality, with the best K = 2.
math.MG↗
arXiv subjects
Stanislav Dubrovskiy
Publications and source records attributed to Stanislav Dubrovskiy.
Moduli Space of General Connections
We consider local invariants of general connections (with torsion). The group of origin-preserving diffeomorphisms acts on a space of jets of general connections. Dimensions of moduli spaces of generic connections are calculated. Poincaré series of the geometric structure of connection is constructed, and shown to be a rational function, confirming the finiteness assertion of Tresse.
math.DG↗
Stokes Theorem for Lipschitz forms on a smooth manifold
Stokes theorem holds for Lipschitz forms on a smooth manifold.
math.DG↗
Lemma Poincaré for L_infty,loc - forms
We show that every closed L_infty,loc - form on R^n is exact. Differential is understood in the sense of currents. The proof does not use any explicit geometric constructions. De Rham theorem follows.
math.DG↗
Moduli space of Fedosov structures
We consider the space of germs of Fedosov structures at a point, together with the group of origin-preserving diffeomorphisms acting on it. We calculate dimensions of moduli spaces of $k$-jets of generic structures and construct Poincaré series. It is shown to be a rational function.
math.DG↗
Moduli space of symmetric connections
The action of origin-preserving diffeomorphisms on a space of jets of symmetric connections is considered. Dimensions of moduli spaces of generic connections are calculated. Poincaré series of the geometric structure of symmetric connection is constructed, and shown to be a rational function.
math.DG↗