3 papers
math.DG2026
On the Integrability of Distributions in -graded Geometry
Rudolf Šmolka, Jan Vysoký
Integrability of distributions on -graded manifolds is examined. First, the Local Frobenius theorem -- the local existence of flat coordinates for an involutive distrib…
math.DG2026
Flows on Graded Manifolds
Rudolf Smolka, Jan Vysoky
Flows of vector fields are an essential tool in differential geometry, with countless applications in both theory and practice. While they have been extensively studied for ordinar…
math.DG2025
Threefold Nature of Graded Vector Bundles
Rudolf Smolka, Jan Vysoky
Graded vector bundles over a given -graded manifold can be defined in three different ways: certain sheaves of graded modules over the structure sheaf of the base grade…