Yiannis Loizides, Eckhard Meinrenken
Published 2020-10-04Version 1
We describe the notion of a weighting along a submanifold $N\subset M$, and explore its differential-geometric implications. This includes a discussion of weighted normal bundles, weighted deformation spaces, and weighted blow-ups. We give applications to manifolds with (singular) Lie filtrations, recovering and generalizing constructions of van Erp-Yuncken, Choi-Ponge, and Haj-Higson of the `osculating tangent bundle' and related concepts.
Geometric and Extensor Algebras and the Differential Geometry of Arbitrary Manifolds
Differential geometry of surfaces and Heisenberg ferromagnets
Differential geometry of ${\mathsf{SO}}^{*}(2n)$-structures and ${\mathsf{SO}}^{*}(2n){\mathsf{Sp}}(1)$-structures - Part II
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