5 citations · 8 across the 17 of their papers we have counts for
19 papers
Lifts of maps to frame bundles
Kamil Niedzialomski, Malgorzata Niedzialomska
Let be a Riemannian manifold, be its frame bundle, its orthonormal frame bundle. For a distribution on we define a subbundle or $O(…
Two notes on Spin(7)-structures
Kamil Niedzialomski
We derive the explicit formula for the intrinsic torsion of a -structure on a --dimensional Riemannian manifold . Here, the intrinsic torsion is a difference o…
A note on invariant description of -structures in dimension 5
Kamil Niedzialomski
We develop an invariant approach to --structures on spin --manifolds. We characterize (via spinor approach) the subspaces in the spinor bundle which induce the same group…
An integral formula for -structures
Kamil Niedzialomski
We apply an integral formula obtained by the author for a general --structure to the case of . We derive an integral formula relating curvatures and some quadratic invari…
Harmonic - and -structures via spinors
Kamil Niedzialomski
In this note, using the spinorial description of and -structures obtained recently by other authors, we give necessary and sufficient conditions for harmonicity of abo…
Rodin's formula in arbitrary codimension
Malgorzata Ciska-Niedzialomska, Kamil Niedzialomski
We extend the Rodin's formula for --modulus of the family of curves in to arbitrary codimension. The proof relies on the formula for the --modulus of family of…